ENGLISH
SCIENTIFICCALCULATOR
MODEL
EL-W516T
OPERATION MANUAL
17ASC75E1
DEG/RAD/GRAD:Indicatesangularunits.
BUSY: Appearsduringtheexecutionofacalculation.
W-VIEW:IndicatesthattheWriteVieweditorisselected.
M:
Indicatesthatanumericalvalueisstoredintheindependent
memory(M).
/
: IndicatesthemodeofexpressionforresultsinCOMPLEX
mode.
BEFORE USING THE CALCULATOR
Pressjtoturnthecalculatoron.Thedatathatwason-screenwhen
thepowerwasturnedoffwillappearonthedisplay.
Press@ o to turn the calculator off.
Key Notations Used in this Manual
INTRODUCTION
About the calculation examples (including some formulas and
tables), refer to the second half of this manual.
After reading this manual, store it in a convenient location for future
reference.
Note: Some of the models described in this manual may not be
available in some countries.
Operational Notes
• Donotcarrythecalculatoraroundinyourbackpocket,asitmay
breakwhenyousitdown.Thedisplayismadeofglassandis
particularlyfragile.
• Keepthecalculatorawayfromextremeheatsuchasonacar
dashboardornearaheater,andavoidexposingittoexcessively
humid or dusty environments.
• Sincethisproductisnotwaterproof,donotuseitorstoreitwhere
fluids,forexamplewater,cansplashontoit.Raindrops,waterspray,
juice,coffee,steam,perspiration,etc.willalsocausemalfunction.
• Cleanwithasoft,drycloth.Donotusesolventsorawetcloth.Avoid
using a rough cloth or anything else that may cause scratches.
• Donotdropitorapplyexcessiveforce.
• Neverdisposeofbatteriesinafire.
• Keepbatteriesoutofthereachofchildren.
• Forthesakeofyourhealth,trynottousethisproductforlong
periodsoftime.Ifyouneedtousetheproductforanextended
period,besuretoallowyoureyes,hands,arms,andbodyadequate
restperiods(about10–15minuteseveryhour).
Ifyouexperienceanypainorfatiguewhileusingthisproduct,
discontinueuseimmediately.Ifthediscomfortcontinues,please
consult a doctor.
• Thisproduct,includingaccessories,maychangeduetoupgrading
withoutpriornotice.
NOTICE
• SHARPstronglyrecommendsthatseparatepermanentwritten
recordsbekeptofallimportantdata.Datamaybelostor
alteredinvirtuallyanyelectronicmemoryproductundercertain
circumstances.Therefore,SHARPassumesnoresponsibilityfor
datalostorotherwiserenderedunusablewhetherasaresultof
improperuse,repairs,defects,batteryreplacement,useafterthe
specifiedbatterylifehasexpired,oranyothercause.
• SHARPwillnotbeliablenorresponsibleforanyincidentalor
consequentialeconomicorpropertydamagecausedbymisuse
and/ormalfunctionsofthisproductanditsperipherals,unless
suchliabilityisacknowledgedbylaw.
♦PresstheRESETswitch(ontheback),withthetipofaball-point
penorsimilarobject,onlyinthefollowingcases.Donotusean
objectwithabreakableorsharptip.NotethatpressingtheRESET
switcherasesalldatastoredinmemory.
• Whenusingforthefirsttime
• Afterreplacingthebattery
• Toclearallmemorycontents
• Whenanabnormalconditionoccursandallkeysareinoperative
♦ Ifserviceshouldberequiredonthiscalculator,havethecalculator
servicedintheregion(country)whereyoupurchasedit.
Hard Case
Selecting the editor and setting the answer display
i
TospecifyE:
;E
ThiscalculatorhasthefollowingtwoeditorsinNORMALmode:
WriteViewandLine.
SetthedisplayformatfornumericalcalculationresultsinWriteVieweditor.
The WriteView editor
EXACT(a/b,r,p)@ J 2 0 0(default)
APPROX.
@J201
The Line editor @ J 2 1
Notes:
• When“EXACT(a/b,r,p)”isset,resultswillappearinfractionformator
irrationalnumberformat(includingp and r)whendisplayispossible.
• When“APPROX.”isset,resultswillbedecimaldisplayorfraction
display,andwillbenotshowninirrationalnumberformat(includingp
and r).
• PressU to change the calculation results to another format that can
bedisplayed.
• Functionsthatareprintedingrayadjacenttothekeysareeffectivein
specificmodes.
• Themultiplicationoperator“ ”isdifferentiatedfromtheletter“X”inthis
manualasfollows:
Tospecifythemultiplicationoperator:k
Tospecifytheletter“X”:; X
• Incertaincalculationexamples,whereyouseetheo symbol, the
keyoperationsandcalculationresultsareshownastheywouldappear
intheLineeditor.
• Ineachexample,pressjtoclearthedisplayfirst.Unlessotherwise
specified,calculationexamplesareperformedintheWriteVieweditor
(@ J 2 0 0)withthedefaultdisplaysettings(@
P 0).
Operation
j
@Z
Modeselection(b)
@P0
@P10
@ P 2 0*3
RESETswitch*3
О:Clear
Entry
(Display)
A–F,
M,X,Y
D1–D3
Х
Х
Х
Х
Х
Х
Х
О
О
О
О
О
О
О
О
О
О
О
ANS STAT*1
matA–D
vectA–D
Х
Х
Х
Х*2
Х
Х
Х
Х
Х
О
О
О
О
О
О
О
О
О
О
О
О
О
О
О
Х:Retain
*1 Statisticaldata(entereddata)
*2 Clearedwhenchangingbetweensub-modesinSTATmode.
*3 TheRESEToperationwillerasealldatastoredinmemoryandrestore
thecalculator’sdefaultsettings.Theusernameyoustoredusingthe
namedisplayfunctionwillbeclearedaswell.
Memory clear key
Press@ Ptodisplaythemenu.
• Toinitializethedisplaysettings,press0.Theparametersaresetas
follows:
• Angularunit:DEG
• Displaynotation:NORM1
• N-base:DEC
• Recurringdecimal:OFF
Mode Selection
NORMALmode:b 0
Usedtoperformarithmeticoperationsandfunctioncalculations.
STATmode:b 1
Usedtoperformstatisticaloperations.
TABLEmode:b 2
Usedtoillustratethechangesinvaluesofoneortwofunctionsintableformat.
DISTRIBUTIONmode:b 7
Usedtoperformdistributioncalculations.
Exponent
Indicatesthatsomecontentsarehiddeninthedirections
/
shown.
/
2ndF:
Appearswhen@ispressed,indicatingthatthefunctions
showninthesamecoloras@ are enabled.
HYP:
IndicatesthatHhasbeenpressedandthehyperbolic
functionsareenabled.If@ >ispressed,thesymbols
2ndF HYPappear,indicatingthatinversehyperbolic
functions are enabled.
ALPHA: Appearswhen;ispressed,indicatingthatthefunctions
showninthesamecoloras; are enabled.
Appearswhenx or tispressed,andentry(recall)
ofmemorycontentscanbeperformed.
FIX/SCI/ENG/N1/N2:Indicatesthenotationusedtodisplayavalue
andchangesbySETUPmenu.N1isdisplayedon-screen
as“NORM1”,andN2as“NORM2”.
:
Press@ J 3, then + or &toadjustthecontrast.Press
jtoexit.
Insert and overwrite entry methods
WhenusingtheLineeditor,youcanchangetheentrymethodfrom
“INSERT”(thedefault)to“OVERWRITE”.
Afteryouswitchtotheoverwritemethod(bypressing@ J 4 1),
thetriangularcursorwillchangetoarectangularone,andthenumberor
functionunderneathitwillbeoverwrittenasyoumakeentries.
Setting the recurring decimal
3
InNORMALmode,calculationresultscanbeshowninarecurring
decimal format.
RecurringdecimalisOFF:@ J 5 0(default)
RecurringdecimalisON: @ J 5 1
• IntheWriteVieweditor,therecurringpartisindicatedby“−”.Inthe
Lineeditor,therecurringpartisindicatedinparentheses.
• Ifover10digits,includingtherecurringpart,theresultcannotbe
displayedinrecurringdecimalformat.
DRILLmode:b 8
Usedtopracticemathandmultiplicationtabledrills.
HOME Key
Press7toreturntoNORMALmodefromothermodes.
Note: Equationsandvaluescurrentlybeingenteredwilldisappear,inthe
samewayaswhenthemodeischanged.
SET UP Menu
Press@ JtodisplaytheSETUPmenu.
PressjtoexittheSETUPmenu.
Note: YoucanpressNtoreturntothepreviouslydisplayedparent
menu.
Determination of the angular unit (degrees, radians, and grades)
DEG(°): @ J 0 0(default)
RAD(rad):@ J 0 1
GRAD(g): @ J 0 2
1/9
Entry
Inthe
Notes:
• Upt
• Inth
orlin
• Use
form
Editi
Justaf
ofthe
l,
or @
equatio
Back
Todele
pressN
directly
Note:
MATH
Other
printed
menu.
Press
Note:T
Multi
Thisca
andan
display
saved
deleted
• Toe
• The
@
conv
2
(@
Thisca
1 Frac
preced
multipl
6 Fun
multipl
cv
M, ►
ending
• Ifpa
prec
Setting of the decimal point
Youcanshowthedecimalpointinthecalculationresultaseitheradot
or a comma.
DOT:
J 6 0(default)
COMMA:J 6 1
• Duringentry,thedecimalpointisonlyshownasadot.
SCIE
Name display function
Youcansaveausernameinthiscalculator.Whenyouturnthepoweroff,
thesavedusernameisdisplayedmomentarily.
Upto32charactersmaybesaved,splitovertwolines.
Enteringandeditingtheusername:
1. Press@ J 7.Theeditingscreenappearswithaflashing
cursor.
2. Useu and d to scroll through the available characters.
3. Pressingl or r moves the cursor to the left or right.
Tomodifyacharacter,usel or r to move the cursor to the
character, then select another character using u or d.
4. Repeatsteps2and3abovetocontinueenteringcharacters.
5. Press=tosaveandquit.
Note: Press@ Z in the editing screen to clear all the
characters.
ENTERING, DISPLAYING, AND EDITING THE EQUATION
The L
Prior
4
The WriteView Editor
VECTORmode:b 6
Usedtoperformvectorcalculations.
Mantissa
2
Adjusting the display contrast
Clearing the Entry and Memories
MATRIXmode:b 5
Usedtoperformmatrixcalculations.
• Duringactualuse,notallsymbolsaredisplayedatthesametime.
• Onlythesymbolsrequiredfortheusagecurrentlybeingexplained
areshowninthedisplayandcalculationexamples.
Setting the floating point number system in scientific notation
NORM1(thedefault)andNORM2.Anumberisautomaticallydisplayedin
scientificnotationoutsideapresetrange:
NORM1(@ J 1 3):0.000000001≤|x|≤9,999,999,999
NORM2(@ J 1 4):0.01≤|x|≤9,999,999,999
@"
EQUATIONmode:b 4
Usedtosolveequations.
Dot
matrix
display
1
TwosettingsofFloatingpoint(NORM1andNORM2),Fixeddecimalpoint
(FIX),Scientificnotation(SCI),andEngineeringnotation(ENG).
• When@ J 1 0(FIX)or@ J 1 2(ENG)is
pressed,thenumberofdecimalplaces(TAB)canbesettoanyvalue
between0and9.
• When@ J 1 1(SCI)ispressed,thenumberof
significantdigitscanbesettoanyvaluebetween0and9.Entering0
willseta10-digitdisplay.
Tospecifye x:
Tospecifyln:
COMPLEXmode:b 3
Usedtoperformcomplexnumbercalculations.
DISPLAY
Selecting the display notation and decimal places
Entry and display
IntheWriteVieweditor,youcanenteranddisplayfractionsorcertain
functionsasyouwouldwritethem.
• TheWriteVieweditorcanbeusedinNORMALmode.
Displaying calculation results (when EXACT is selected)
Whenpossible,calculationresultswillbedisplayedusingfractions,r,
and p.WhenyoupressU,thedisplaywillcyclethroughthefollowing
displaystyles:
• Mixedfractions(withorwithoutp) improperfractions(withor
withoutp) decimal numbers
• Properfractions(withorwithoutp) decimal numbers
• Irrationalnumbers(squareroots,fractionsmadeusingsquareroots)
decimal numbers
Notes:
• Inthefollowingcases,calculationresultsmaybedisplayedusingr:
• Arithmeticoperationsandmemorycalculations
• Trigonometriccalculations
Entryvalue
• Intrigonometriccalculations,when
entering values such as those in the
DEG
multiplesof15
tabletotheright,resultsmaybeshown
1
using r.
RAD
multiplesof 
12 p
• Improper/properfractionswillbe
50
multiplesof
convertedtoanddisplayedasdecimal GRAD
3
numbers if the number of digits used in
theirexpressionisgreaterthannine.Inthecaseofmixedfractions,the
maximumnumberofdisplayabledigits(includingintegers)iseight.
• Ifthenumberofdigitsinthedenominatorofafractionalresultthatuses
pisgreaterthanthree,theresultisconvertedtoanddisplayedasa
decimal number.
Arith
• The
omit
Cons
• Inco
Sub
mult
• Inco
• Con
Conv
Youca
to eng
• Pres
incre
• The
Func
• Refe
• Inth
•
Y
•
@
• Whe
ente
• lo
• ab
Integ
Integra
mode.
Note:
Integ
S= 
+
Differ
as“NORM1”,andN2as“NORM2”.
The Line Editor
Performing integral calculations
Angular Unit Conversions
malpoint
Entry and display
Eachtime@ ]ispressed,theangularunitchangesinsequence.
Calcul
ENG)is
value
IntheLineeditor,youcanenteranddisplayequationslinebyline.
Notes:
• Uptothreelinesoftextmaybeviewedonthescreenatonetime.
• IntheLineeditor,calculationresultsaredisplayedindecimalform
orlinefractionnotationifpossible.
• UseUtoswitchthedisplayformattofractionalformordecimal
form(ifpossible).
1. Press; F.
2. Specifythefollowingparameters:rangeofintegral(initialvalue(a), end
value(b)),functionwithvariablex,andnumberofsubintervals(n).
Youdonotneedtospecifythenumberofsubintervals.Ifthe
numberofsubintervalsisnotspecified,thedefaultvalueof
n=100willbeused.
3. Press=.
Notes:
• Parametersareenteredinthefollowingway:
WriteVieweditor:
Lineeditor:
Memory Calculations
Torecal
fromthe
• Tosc
Use
last
• Ente
cont
• Whe
auto
• Phys
STAT
Note: P
2
o
(
T
1
ring0
otation
layedin
99,999
2
Editing the Equation
b
Justafterobtainingananswer,pressingl brings you to the end
oftheequationandpressingrbringsyoutothebeginning.Press
l, r, u, or dtomovethecursor.Press@ l
or @ rtojumpthecursortothebeginningortheendofthe
equation.
Back space and delete key
or.
Todeleteanumberorfunction,movethecursortotherightofit,then
pressN.Youcanalsodeleteanumberorfunctionthatthecursoris
directlyoverbypressing@ y.
Note: Inamulti-levelmenu,youcanpressNtobacktothe
previousmenulevel.
rmator
ssible.
on
dingp
that can
Press
m
1),
or
3
g
MATH Menu
Otherfunctionsmaybeavailableonthiscalculatorbesidesthose
printedonthekeypad.ThesefunctionsareaccessedusingtheMATH
menu.TheMATHmenuhasdifferentcontentsforeachmode.
PressNtodisplaytheMATHmenu.
Note:TheNkeycannotbeusedinthesimulationcalculationsand
solverfunctionsofNORMALmode,orintheitemandvalue
inputscreensofothermodes.
Multi-line Playback Function
5
Thiscalculatorisequippedwithafunctiontorecallpreviousequations
andanswersinNORMALorCOMPLEXmodes.Pressinguwill
displaythepreviousequation.Thenumberofcharactersthatcanbe
savedislimited.Whenthememoryisfull,storedequationswillbe
deletedtomakeroom,startingwiththeoldest.
• Toeditanequationafterrecallingit,pressl or r.
• Themulti-linememorywillbeclearedbythefollowingoperations:
@ Z,modechange,RESET,N-baseconversion,angularunit
conversion,editorchange(@ J 2 0 0, @ J
2 0 1 or @ J 2 1),andmemoryclear
(@ P 1 0).
Priority Levels in Calculation
Thiscalculatorperformsoperationsaccordingtothefollowingpriority:
1 Fractions(1m4,etc.) 2 ∠,Engineeringprefixes 3 Functions
precededbytheirargument(x −1, x 2,n!,(%),etc.) 4 y x, xr 5 Implied
multiplicationofamemoryvalue(2Y,etc.)
6 Functionsfollowedbytheirargument(sin,cos,(−),etc.) 7 Implied
1
8
multiplicationofafunction(2sin30,A 
4 ,etc.) nCr,nPr,GCD,LCM,
cv 9 ×, ÷, int÷ 10 +, − 11 AND 12 OR,XOR,XNOR 13 =, M+, M−,
xy, and other calculation
M, ►DEG,►RAD,►GRAD, rq,
ending instructions
• Ifparenthesesareused,parenthesizedcalculationshave
precedenceoveranyothercalculations.
the
e
adot
SCIENTIFIC CALCULATIONS
weroff,
Arithmetic Operations
6
rs.
r to the
d.
s.
N
4
Constant Calculations
7
• Inconstantcalculations,theaddendbecomesaconstant.
Subtractionanddivisionareperformedinthesamemanner.For
multiplication,themultiplicandbecomesaconstant.
• Inconstantcalculations,constantswillbedisplayedasK.
• ConstantcalculationscanbeperformedinNORMALorSTATmodes.
Conversion to Engineering notation
8
Youcanuse; < or ; > to convert the calculation result
to engineering notation.
• Press; <todecreasetheexponent.Press; > to
increasetheexponent.
• Thesettings(FSE)intheSETUPmenudonotchange.
Functions
ain
ted)
s,r,
llowing
r
oots)
r:
lue
of15
1
f 
12 p
50
of
3
ons,the
ght.
hatuses
asa
9
• Refertothecalculationexamplesforeachfunction.
• IntheLineeditor,thefollowingsymbolsareused:
:toindicateanexpression’spower.(m, @ ", @
•
Y)
• :toseparateintegers,numerators,anddenominators.(W,
@ k)
• Whenusing@ O or @ WintheLineeditor,valuesare
enteredinthefollowingway:
• logn(base, value)
• absvalue
Integral/Differential Functions
10
IntegralanddifferentialcalculationscanbeperformedinNORMAL
mode.
Note: Sinceintegralanddifferentialcalculationsareperformed
basedonthefollowingequations,correctresultsmaynot
beobtained,incertainrarecases,whenperformingspecial
calculationsthatcontaindiscontinuouspoints.
Integralcalculation(Simpson’srule):
( )
1
b−a
S =  h{ f (a) + 4{ f (a + h) + f (a + 3h) + ... + f (a + (N − 1)h)} h = 
3
N
+ 2{ f (a + 2h) + f (a + 4h) + ... + f (a + (N − 2)h)} + f (b)} N = 2n
a≤x≤b
f(x +
dx
2
dx
2
 ) − f(x −  )
Differentialcalculation: f´(x) = —
dx
(function, a, b[, subintervals])
• Integralcalculations,
dependingonthe
integrands and
subintervals included, y
requirelonger
calculation time.
Duringcalculation,
y x
x0
2
the BUSY symbol
b
willbedisplayed.To
a
x
x
a
b
cancel calculation,
x0 x 1
x1
x3
x2
pressj.
x3
Notethattherewill
begreaterintegralerrorswhentherearelargefluctuationsinthe
integral values during minute shifting of the integral range and for
periodicfunctions,etc.,wherepositiveandnegativeintegralvalues
existdependingontheinterval.
Fortheformercase,divideintegralintervalsassmallaspossible.
Forthelattercase,separatethepositiveandnegativevalues.
Followingthesetipswillallowyoutoobtainresultsfromcalculations
withgreateraccuracyandwillalsoshortenthecalculationtime.
Performing differential calculations
1. Press; G.
2. Specifythefollowingparameters:functionwithvariablex, value of
x,andminuteinterval(dx).
Youdonotneedtospecifytheminuteinterval.Iftheminuteinterval
isnotspecified,itwillautomaticallybesetto10−5(whilex =0),or
| x | × 10−5(whilex ≠0).
3. Press=.
Note: Parametersareenteredinthefollowingway:
WriteVieweditor:
d(function)
–
dx
x = value of x[, minute interval]
Lineeditor:
d/dx(function, value of x[, minute interval])
|
11
∑ Function
The∑functionreturnsthecumulativesumofagivenexpressionfrom
14
Temporary memories (A–F, X and Y)
Pressxandavariablekeytostoreavalueinmemory.
Presstandavariablekeytorecallthevaluefromthatmemory.To
placeavariableinanequation,press;andavariablekey.
Independent memory (M)
Inadditiontoallthefeaturesoftemporarymemories,avaluecanbe
addedtoorsubtractedfromanexistingmemoryvalue.
Pressj x Mtocleartheindependentmemory(M).
Last answer memory (ANS)
Thecalculationresultobtainedbypressing= or any other calculation
endinginstructionisautomaticallystoredinthelastanswermemory.
Whenthecalculationresultisinmatrixorvectorform,thefullmatrix
orvectorisnotstoredintoANSmemory.Onlythevalueoftheelement
covered by the cursor is stored.
Notes:
• Calculationresultsfromthefunctionsindicatedbelowareautomatically
storedintheXorYmemoriesreplacinganyexistingvalues.
xy:Xmemory(r or x),Ymemory(q or y)
• r q,
• Twox´valuesfromaquadraticregressioncalculationinSTATmode:
Xmemory(1:),Ymemory(2:)
• Useoft or ;willrecallthevaluestoredinmemoryusingupto
14digits.
• A-F,X,YmemorycannotbeusedinCOMPLEXmode.
Definable memories (D1–D3)
Youcanstorefunctionsoroperationsindefinablememories(D1–D3).
• Tostoreafunctionoroperation,pressx,followedbyadefinable
memorykey(I, J, or K),followedbytheoperationyou
wanttostore.Menu-relatedoperations,suchas@ J, cannot be
stored.Pressjtoreturntothepreviousdisplay.
• Tocallastoredfunctionoroperation,pressthecorrespondingmemory
key.Callingastoredfunctionwillnotworkifthefunctionthatiscalled
wouldbeunusableinthecurrentcontext.
• Anyfunctionsoroperationsthatarestoredinadefinablememorywill
bereplacedwhenyousaveanewoneintothatmemory.
• Functionscannotbesavedinadefinablememoryfromthesimulation
calculationsandsolverfunctionsofNORMALmode,orfromtheitem
andvalueinputscreensofothermodes.
Memory List
Chain Calculations
Performing ∑ calculations
Thepreviouscalculationresultcanbeusedinthesubsequent
calculation.However,itcannotberecalledafterenteringmultiple
instructionsorwhenthecalculationresultisinmatrix/vectorformat.
1. Press; I.
2. Specifythefollowingparameters:initialvalue,endvalue,function
withvariablex,andincrement(n).
Youdonotneedtospecifytheincrement.Iftheincrementisnot
specified,thedefaultvalueofn=1willbeused.
3. Press=.
Note: Parametersareenteredinthefollowingway:
WriteVieweditor:
end value
Lineeditor:
Σ(function, initial value, end value[, increment])
Π Function
12
15
16
Arithmeticoperationsandmemorycalculationscanbeperformedusing
fractions.InNORMALmode,conversionbetweenadecimalnumberand
afractioncanbeperformedbypressingU.
Notes:
• Improper/properfractionswillbeconvertedtoanddisplayedasdecimal
numbersifthenumberofdigitsusedintheirexpressionisgreater
thannine.Inthecaseofmixedfractions,themaximumnumberof
displayabledigits(includingintegers)iseight.
• Toconvertasexagesimalvaluetoafraction,firstconvertitbypressing
@ :.
Binary, Pental, Octal, Decimal, and Hexadecimal
Operations (N-base)
Performing Π calculations
ConversionscanbeperformedbetweenN-basenumbersinNORMAL
mode.Thefourbasicarithmeticoperations,calculationswith
parentheses,andmemorycalculationscanalsobeperformed,alongwith
thelogicaloperationsAND,OR,NOT,NEG,XOR,andXNORonbinary,
pental,octal,andhexadecimalnumbers.
end value
Π(function[, increment])
x = initial value
Lineeditor:
Π(function, initial value, end value[, increment])
Random Function
Therandomfunctionhasfoursettings.(Thisfunctioncannotbe
selectedwhileusingtheN-basefunction.)Togeneratefurtherrandom
numbersinsuccession,presse.Pressjtoexit.
Random numbers
Apseudo-randomnumber,withthreesignificantdigitsfrom0upto
0.999,canbegeneratedbypressing@ w 0 e.
Note: IntheWriteVieweditor,iftheresultisnot0itcanbeshownas
a fraction or decimal using U.
A
C
D
E
F
* , A , l , i , and H .
Inthebinary,pental,octal,andhexadecimalsystems,fractionalparts
cannotbeentered.Whenadecimalnumberhavingafractionalpart
isconvertedintoabinary,pental,octal,orhexadecimalnumber,the
fractionalpartwillbetruncated.Likewise,whentheresultofabinary,
pental,octal,orhexadecimalcalculationincludesafractionalpart,
thefractionalpartwillbetruncated.Inthebinary,pental,octal,and
hexadecimalsystems,negativenumbersaredisplayedasacomplement.
Time, Decimal, and Sexagesimal Calculations
Degree
Minute
Tosimulateadie-rolling,arandomintegerbetween1and6canbe
generatedbypressing@ w 1 e.
• Beforeperformingacalculation,selecttheangularunit.
• Theresultsofcoordinateconversionswillbedisplayedasdecimal
numbersevenintheWriteVieweditor.
Entera
convers
• The
phys
• Unit
STAT
01 in
02 c
03 ft
04 m
05 y
06 m
07 m
08 k
09 n
10 m
11 a
12 m
13 o
14 g
15 lb
16 k
17 °F
18 °C
19 g
20 L
21 g
22 L
*1 base
Calcu
Calculat
thefollo
Random integer
Rectangularcoord.
Modif
19
Tosimulateacoinflip,0(heads)or1(tails)canberandomly
generatedbypressing@ w 2 e.
2/9
18
Second
Coordinate Conversions
Youcanspecifyarangefortherandomintegerwith“R.Int(”only.
R.Int(minimum value, maximum value)
Forexample,ifyouenter@ w 31H99) e, a
randomintegerfrom1to99willbegenerated.
09
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
Sp
Ne
St
El
Pr
N
M
At
re
El
Pl
Bo
M
El
C
Fi
Bo
R
M
Bo
El
N
Pr
N
M
C
Pr
Youcanconvertbetweendecimalandsexagesimalnumbers,andfrom
sexagesimalnumberstosecondsorminutes.Inaddition,thefourbasic
arithmeticoperationsandmemorycalculationscanbeperformedusing
thesexagesimalsystem.Notationforsexagesimalisasfollows:
Random dice
Random coin
17
Note: ThehexadecimalnumbersA–Fareenteredbypressingm ,
B
No.
01
02
03
04
05
06
07
08
No.
Fraction Calculations
TheΠfunctionreturnstheproductofagivenexpressionfroman
initialvaluetoanendvalueinNORMALmode.
1. Press; ;.
2. Specifythefollowingparameters:initialvalue,endvalue,function
withvariablex,andincrement(n).
Youdonotneedtospecifytheincrement.Iftheincrementisnot
specified,thedefaultvalueofn=1willbeused.
3. Press=.
Note: Parametersareenteredinthefollowingway:
WriteVieweditor:
Physi
Metric
Press; 9todisplayalistofthevaluessavedinmemory.
Thevaluesareshownina9-characterrange.
Applicablememories:A,B,C,D,E,F,X,Y,M
• InCOMPLEXmode,onlyMmemoryisdisplayed.
aninitialvaluetoanendvalueinNORMALmode.
Σ(function[, increment])
x = initial value
• Theclosingparenthesis) just before = or m may be
omitted.
flashing
a function[, subintervals]dx
13
Polarcoord.
Decima
withup
displaye
ofdecim
thatsho
theinter
displaye
• When
using
decim
• Them
VECT
13
uence.
14
y.To
be
ulation
ry.
ix
ment
matically
mode:
gupto
D3).
able
u
not be
memory
alled
rywill
ulation
item
20
15
16
decimal
er
of
ressing
al
17
MAL
ngwith
binary,
A
m ,
arts
rt
e
ry,
d
ement.
18
from
basic
using
Torecallaconstant,press; :,thenselectaphysicalconstant
fromthelist.(Eachitemislabeledwitha2-digitnumber.)
• Toscrollupordownthelistofconstants,pressu(l)ord(r).
Use@ u(l)or@ d(r)tojumptothefirstor
lastpage.
• Enterthefirstdigitofthe2-digititemnumbertojumptothepage
containingthenumberthatbeginswiththatdigit.
• Whenyouentertheseconddigit,theconstantisdisplayed
automaticallyaccordingtothedisplayanddecimalplacementsettings.
• PhysicalconstantscanberecalledinNORMAL(excludingN-base),
STAT,COMPLEX,MATRIX,VECTORandEQUATIONmodes.
Note: Physicalconstantsandmetricconversionsarebasedonthe
2014CODATArecommendedvalues,oronthe2008Edition
ofthe“GuidefortheUseoftheInternationalSystemofUnits
(SI)”releasedbyNIST(NationalInstituteofStandardsand
Technology).
GCD (the Greatest Common Divisor)
No.
01
02
03
04
05
06
07
08
09
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
Constant
Speedoflightinvacuum
Newtonianconstantofgravitation
Standard acceleration of gravity
Electronmass
Protonmass
Neutron mass
Muon mass
Atomicmassunit-kilogram
relationship
Elementarycharge
Planckconstant
Boltzmannconstant
Magnetic constant
Electricconstant
Classicalelectronradius
Fine-structureconstant
Bohrradius
Rydbergconstant
Magneticfluxquantum
Bohrmagneton
Electronmagneticmoment
Nuclear magneton
Protonmagneticmoment
Neutron magnetic moment
Muon magnetic moment
Comptonwavelength
ProtonComptonwavelength
No.
Constant
27 Stefan-Boltzmannconstant
28 Avogadro constant
29 Molar volume of ideal gas
(273.15K,101.325kPa)
30 Molar gas constant
31 Faradayconstant
32 VonKlitzingconstant
33 Electronchargetomassquotient
34 Quantumofcirculation
35 Protongyromagneticratio
36 Josephsonconstant
37 Electronvolt
38 CelsiusTemperature
39 Astronomical unit
40 Parsec
41 Molarmassofcarbon-12
42 Planckconstantover2pi
43 Hartreeenergy
44 Conductancequantum
45 Inversefine-structureconstant
46 Proton-electronmassratio
47 Molar mass constant
48 NeutronComptonwavelength
49 Firstradiationconstant
50 Second radiation constant
51 Characteristicimpedanceofvacuum
52 Standardatmosphere
Enteravaluetobeconverted,thenpress; L, and select a metric
conversionbyenteringits2-digitnumber.
• Themetricconversionlistisusedinthesamemannerasthelistof
physicalconstants.
• UnitconversionscanbeperformedinNORMAL(excludingN-base),
STAT,MATRIX,VECTOR,andEQUATIONmodes.
Remarks
No.
01 in
: inch
02 cm
: centimeter
03 ft
: foot
04 m
: meter
05 yd
: yard
06 m
: meter
07 mi
: mile
08 km
:kilometer
09 n mi
: nautical mile
10 m
: meter
11 acre
:acre*1
2
12 m :squaremeter
13 oz
: ounce(avoirdupois)
: gram
14 g
15 lb
:pound(avoirdupois)
:kilogram
16 kg
17 °F
:degreeFahrenheit
18 °C
:degreeCelsius
19 gal(US) :gallon(US)
20 L
:liter
21 gal(UK) :gallon(UK)
22 L
:liter
*1 basedonUSsurveyfoot
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
Remarks
floz(US) :fluidounce(US)
mL
:milliliter
floz(UK) :fluidounce(UK)
mL
:milliliter
calth
: calorieth
J
: joule
cal15
:calorie(15°C)
J
: joule
calIT
: calorieIT
J
: joule
hp
:horsepower(UK)
W
:watt
ps
:horsepower(metric)
W
:watt
2
(kgf/cm )
Pa
:pascal
atm
:atmosphere
Pa
:pascal
(1mmHg=1Torr)
Pa
:pascal
(kgf·m)
N·m
:newtonmeter
Calculations Using Engineering Prefixes
21
CalculationcanbeexecutedinNORMALmode(excludingN-base)using
thefollowing9typesofprefixes.
k
M
G
T
Prefix
(kilo)
(Mega)
(Giga)
(Tera)
Modify Function
19
23
• Refertothecalculationexamplesforeachfunction
No.
using
erand
Various functions
Calculations using physical constants
Metric conversions
t.
mal
Physical Constants and Metric Conversions
Unit
103
106
109
1012
m
µ
n
p
f
Prefix
(milli)
(micro)
(nano)
(pico)
(femto)
Unit
10–3
10–6
10–9
10–12
10–15
WhatistheGCDof
24and36?
j 24
@ = 36
12.
=
LCM (the Least Common Multiple)
WhatistheLCMof
15and9?
j 15
@?9
int÷
• ”Q”indicates“Quotient”,and“R”indicates“Remainder”.
• Pressing@ 6cannotbefollowedbypressingakeyfor
anotheroperationsuchas(+,–,×,÷),otherwiseanerrorwillresult.
• Thequotientandremainderareshownin“NORM1”format.Ifnot
alldigitscanbedisplayedin“NORM1”format,normaldivisionis
performed.
22
2
After entering statistical data from the input screen, press _ or j
and close the input table. You can then check statistical values from the
STAT menu (; 8) and specify statistical variables.
Data Entry and Correction
3
Data entry
Entry field
ipart
4
Returnsonlytheintegerpartofadecimalnumber.
fpart
Single-variable data table
Returnsonlythefractionpartofadecimalnumber.
int
Returnsthehighestintegervaluethatdoesnotexceedthevalue
specified.
(%)
Whenspecifiedimmediatelyafteravalue,thevalueistreatedasa
percentage.
Note: Forcalculationusing@ a, refer to the calculation
examples(No.9).Youcanuse@ atoperformpremium,
discount, and other calculations.
Prime Factorization
24
InNORMALmode,thecalculationresultcanbeshownasaproduct
ofprimenumbers.
•Apositiveintegergreaterthan2andnomorethan10digitscanbe
factoredintoprimes.
•Anumberthatcannotbefactoredintoaprimenumberwith3digits
orshorterisshowninparentheses.
•Thecalculationresultofprimefactorizationisdisplayedaccordingto
theeditorsetting(W-VIEWorLINE).
• Thecalculationresultofprimefactorizationmayextendoffthe
edgesofthescreen.Youcanseethosepartsbypressingl or
r.Tojumptotheleftendorrightend,press@ l or @
r.
Simulation Calculation (ALGB)
25
Ifyouhavetofindvaluesconsecutivelyusingthesameexpression,
suchasplottingacurvelinefor2x2+1,orfindingthevariablevalues
for2x+2y=14,onceyouentertheexpression,allyouhavetodoisto
specifythevalueforthevariableintheequation.
Usablevariables:A–F,M,XandY
• SimulationcalculationscanonlybeexecutedinNORMALmode.
• Calculationendinginstructionsotherthan= cannot be used.
Performing calculations
1.
2.
3.
4.
Pressb 0.
Inputanexpressionwithatleastonevariable.
Press@ 2.
Thevariableentryscreenwillappear.Enteravalue,thenpress
etoconfirm.
• Aftercompletingthecalculation,press@ 2toperform
calculationsusingthesameequation.
Solver Function
1.
2.
3.
4.
5.
6.
Data correction
Use l, r, u, or d to move the cursor and select the
desired data. Press @ u or @ d to jump the cursor to the
beginning or end of the data.
Data correction
After clos
regressio
STAT me
;8
;8
;8
;8
;8
;8
Notes:
• Listdis
regres
statisti
• Estima
U).
menu (
• Inthe
return
Statist
Data insertion
Data deletion
Norma
To insert a line in front of the cursor position, press ; T.
The initial values entered in the inserted data are 0 in x and y, and 1
in FRQ.
To delete the entire line where cursor is positioned, press @ y.
Notes:
• InSTATmode,allstatisticaldatawillbeerasedifthesubmodeis
changed or @ Z is pressed.
• InSTATmode,press_ to display the input table.
Single-variable statistical calculation
Statistics of
1
,
3
and the value of the normal probability function.
Linear regression calculation
In STAT
under the
distributi
Notes:
• P(t),Q
becau
for an
• Values
• Thest
xt= —
s
TABL
Statistics of 1 , 2 and 4 . In addition, the estimate of y for a given x
(estimate y´) and the estimate of x for a given y (estimate x´).
You can
mode.
Quadratic regression calculation
1. Press
2. Enter
3. If need
4. Enter
The de
5. Enter
• You
valu
6.Press
variab
display
If you e
You ca
corres
• Theta
• Theva
point.
• Press l
column
• Full dig
Notes:
• Inafu
are all
• Irration
value o
step va
• Youca
• Thefo
conver
and an
• It may
the fun
• Please
rewritt
• Press
mode,
Statistics of 1 , 2 and 4 . And coefficients a, b, c in the quadratic
regression formula (y = a + bx + cx2). (For quadratic regression
calculations, no correlation coefficient (r) can be obtained.)
When there are two x´ values, each value will be displayed with “1:” or
“2:”, and stored separately in the X and Y memories.
You can also specify the 1st value (x1’) and the 2nd value (x2’) separately.
Euler exponential regression, logarithmic regression,
power regression, inverse regression,
and general exponential regression calculations
Statistics of 1 , 2 and 4 . In addition, the estimate of y for a given
x and the estimate of x for a given y. (Since the calculator converts
each formula into a linear regression formula before actual calculation
takes place, it obtains all statistics, except coefficients a and b, from
converted data rather than entered data.)
1
3/9
STAT M
An error
• The ab
equal
• Thede
• Anatte
• Nosol
Move the cursor to the data that you want to correct, enter the numeric
value, and press e.
The following statistics can be obtained for each statistical calculation
(refer to the table below):
26
Pressb 0.
Inputanexpressionwithanx variable.
Press@ 3.
Entera“Start”valueandpresse.Thedefaultvalueis“0”.
Enteradxvalue(minuteinterval).
Presse.
Two-variable data table
• Afterenteringthedata,press e. The input is finalized and the
cursor moves to the next line. If data was not entered in an x or y, 0 is
entered, 1 is entered in FRQ (frequency), and the cursor moves to the
next line.
• You can use H to enter X and FRQ (or X, Y, and FRQ) at once.
• Intheinputtable,upto6digitsaredisplayedforeachvalue,
includingthesignanddecimalpoint.Anyvaluesthatexceed6digits
in length are displayed in exponent notation.
• Up to 100 data items can be entered. With single-variable data,
a data item with an assigned frequency of one is counted as one
data item, while an item with an assigned frequency of 2 or higher
is stored as a set of two data items. With two-variable data, a set of
data items with an assigned frequency of one is counted as two data
items, while a set of items with an assigned frequency of 2 or higher
is stored as a set of three data items.
• Toexecutestatisticalcalculation,press_ or j and close the
input table.
Statistical Calculations and Variables
Thesolverfunctionfindsthevalueforx that reduces the entered
expressiontozero.
• ThisfunctionusesNewton’smethodtoobtainanapproximation.
Dependingonthefunction(e.g.periodic)orstartvalue,anerror
mayoccur(ERROR02)duetotherebeingnoconvergencetothe
solutionfortheequation.
• Thevalueobtainedbythisfunctionmayincludeamarginoferror.
• Changethe“Start”value(e.g.toanegativevalue)ordxvalue(e.g.
toasmallervalue)if:
• nosolutioncanbefound(ERROR02).
• morethantwosolutionsappeartobepossible(e.g.acubicequation).
• toimprovearithmeticprecision.
• ThecalculationresultisautomaticallystoredintheXmemory.
• Pressjtoexitthesolverfunction.
Performing solver function
Decimalcalculationresultsareinternallyobtainedinscientificnotation,
withupto14digitsinthemantissa.However,sincecalculationresultsare
displayedintheformdesignatedbythedisplaynotationandthenumber
ofdecimalplacesindicated,theinternalcalculationresultmaydifferfrom
thatshowninthedisplay.Byusingthemodifyfunction(@ n),
theinternalvalueisconvertedtomatchthatofthedisplay,sothatthe
displayedvaluecanbeusedwithoutchangeinsubsequentoperations.
• WhenusingtheWriteVieweditor,ifthecalculationresultisdisplayed
usingfractionsorirrationalnumbers,pressU to convert it to
decimalformfirst.
• ThemodifyfunctioncanbeusedinNORMAL,STAT,MATRIX,or
VECTORmodes.
27 28
The statistical data input screen appears.
45.
=
STATISTICAL CALCULATIONS
Statistical calculations can be performed in STAT mode.
There are eight sub-modes within STAT mode. Press b 1, then
press the number key that corresponds to your choice:
0 (SD): Single-variable statistics
1 (a+bx): Linear regression
2 (a+bx+cx2): Quadratic regression
3 (a⋅e^bx): Euler exponential regression
4 (a+b⋅lnx): Logarithmic regression
5 (a⋅x^b): Power regression
6 (a+b/x): Inverse regression
7 (a⋅b^x): General exponential regression
n
–
x
sx
s2x
sx
s2x
Σx
Σx 2
xmin
xmax
Number of samples
Mean of samples (x data)
Sample standard deviation (x data)
Sample variance (x data)
Population standard deviation (x data)
Population variance (x data)
Sum of samples (x data)
Sum of squares of samples (x data)
Minimum value of samples (x data)
Maximum value of samples (x data)
Settin
–
y
27 28
1, then
2
rj
om the
ble
e
y, 0 is
o the
6digits
ne
her
et of
o data
igher
e the
he
to the
umeric
nd 1
y.
eis
lation
n.
en x
ic
n
“1:” or
tely.
on,
en
erts
ulation
rom
3
4
sy
s2y
sy
s2y
Σy
Σy 2
Σxy
Σx2y
Σx3
Σx4
ymin
ymax
Q1
Med
Q3
r
a
b
c
R2
r2
Mean of samples ( y data)
COMPLEX NUMBER CALCULATIONS
Sample standard deviation ( y data)
Sample variance ( y data)
Population standard deviation ( y data)
Population variance ( y data)
Sum of samples ( y data)
Sum of squares of samples ( y data)
Sum of products of samples (x, y)
Complex Number Entry
Sum of products of samples (x2, y)
Rectangular coordinates
x-coordinate + y-coordinate O
or x-coordinate + O y-coordinate
2 Polar coordinates
r@Qq
r : absolute value
q: argument
• Onselectinganothermode,theimaginarypartofanycomplexnumber
stored in the independent memory (M) and the last answer memory
(ANS) will be cleared.
• Acomplexnumberexpressedinrectangularcoordinateswiththe
y-value equal to zero, or expressed in polar coordinates with the angle
equal to zero, is treated as a real number.
• From the MATH menu, you can obtain the complex conjugate (conj( ), the
argument of a complex number (arg( ), the real part of a complex number (real(
), and the imaginary part of a complex number (img( ).
1
Sum of 3rd powers of samples (x data)
Sum of 4th powers of samples (x data)
Minimum value of samples ( y data)
Maximum value of samples ( y data)
First quartile of sample (x data)
Median of sample (x data)
Third quartile of sample (x data)
Correlation coefficient (Except Quadratic regression)
Coefficient of regression equation
Coefficient of regression equation
Coefficient of quadratic regression equation
EQUATION SOLVERS
Coefficient of determination (Quadratic regression)
Coefficient of determination (Except Quadratic regression)
Simultaneouslinearequationswithtwounknowns(2-VLE)orwiththree
unknowns(3-VLE)maybesolvedusingthefollowingfunctions.
1 2-VLE:b 4 0
a1x + b1y = c1
a2x + b2y = c2
2
Notes:
• Listdisplayofregressioncoefficientvaluesandspecificationof
regression coefficient variables do not appear in single-variable
statistical calculation.
• Estimated values x’ and y’ are specified with the keys (@ V, @
U). If there are two x’ values, you can specify x1’ and x2’ from the STAT
menu (; 8 5) to obtain the values separately.
• Inthestatisticalvalueandregressioncoefficientvaluelists,youcannot
return to the menu by pressing N.
29
An error will occur when:
• The absolute value of the intermediate result or calculation result is
equal to or greater than 1 × 10100.
• Thedenominatoriszero.
• Anattemptismadetotakethesquarerootofanegativenumber.
• Nosolutionexistsinthequadraticregressioncalculation.
30
In STAT mode, the three probability density functions can be accessed
under the MATH menu, with a random number used as a normal
distribution variable.
Notes:
• P(t),Q(t),andR(t)willalwaystakepositivevalues,evenwhent<0,
because these functions follow the same principle used when solving
for an area.
• ValuesforP(t),Q(t),andR(t)aregiventosixdecimalplaces.
• Thestandardizationconversionformulaisasfollows:
x-x
t= —
sx
TABLE MODE
31
You can see the changes in values of one or two functions using TABLE
mode.
Setting a table
1. Press b 2 to enter TABLE mode.
2. Enter a function (Function1), and press e.
3. If needed, enter the 2nd function (Function2) and press e.
4. Enter a starting value (X_Start:), and press e.
The default starting value is 0.
5. Enter a step value (X_Step:). The default step value is 1.
• Youcanuseu and d to move the cursor between the starting
value and step value.
6.Presse when you finish entering a step value. A table with a
variable X and the corresponding values (ANS column) appears,
displaying 3 lines below the starting value.
If you entered two functions, the ANS1 and ANS2 columns appear.
You can use u and d to change the X value and see its
corresponding values in table format.
• Thetableisfordisplayonlyandyoucannoteditthetable.
• Thevaluesaredisplayedupto7digits,includingsignsandadecimal
point.
• Press l or r to move the cursor to ANS column (ANS1 and ANS2
columns if you entered two functions) or X column.
• Full digits of the value on the cursor are displayed on the bottom right.
Notes:
• Inafunction,only“X”canbeusedasavariable,andothervariables
are all regarded as numbers (stored into the variables).
• Irrationalnumberssuchasr and p can also be entered into a starting
value or a step value. You cannot enter 0 or a negative number as a
step value.
• YoucanuseWriteVieweditorwheninputtingafunction.
• ThefollowingfeaturesarenotusedinTABLEmode:coordinate
conversions, conversion between decimal and sexagesimal numbers,
and angular unit conversions.
• It may take time to make a table, or “-------” may be displayed, depending on
the function entered or conditions specified for the variable X.
• Pleasenotethatwhenmakingatable,thevaluesforvariableXare
rewritten.
• Press @ Z or mode selection to return to the initial screen of the
mode, and return to the default values for the starting value and step value.
D =
a1 b1
a2 b2
3-VLE:b 4 1
a1x + b1y + c1z = d1
a2x + b2y + c2z = d2
a3x + b3y + c3z = d3
D =
a1 b1 c1
a2 b2 c2
a3 b3 c3
• IfthedeterminantD=0,anerroroccurs.
• Iftheabsolutevalueofanintermediateresultorcalculationresultis1
× 10100 or more, an error occurs.
Solving simultaneous linear equations
1. Press b 4 0 or b 4 1.
2. Enter the value for each coefficient (a1, etc.).
• Coefficientscanbeenteredusingordinaryarithmeticoperations.
• Tocleartheenteredcoefficient,pressj.
• Pressu or d to move the cursor up or down through the
coefficients. Press @ u or @ d to jump to the first or
last coefficient.
3. When all coefficients have been entered, press e to solve the
equation.
• While the solution is displayed, press e or j to return to the
coefficient entry display. To clear all the coefficients, press @ Z .
Quadratic and Cubic Equations
Quadratic (ax2 + bx + c = 0) or cubic (ax3 + bx2 + cx + d = 0)
equations may be solved using the following functions.
1 Quadratic equation solver: b 4 2
2 Cubic equation solver: b 4 3
• If there are two or more solutions, those solutions are also shown.
• Ifcalculable,youcanalsoobtaintheminimumvalue(whena>0)and
themaximumvalue(whena<0)ofaquadraticfunction(y = ax2 + bx
+ c) .
Solving quadratic and cubic equations
• Pressb 4 2 or b 4 3.
• Coefficientsfortheseequationscanbeenteredinthesamemanneras
those for simultaneous linear equations.
• WhenusingtheQUADRATICequationsolver,continuebypressing
e (or d) to display the minimum value or maximum value. To
return to the solution, press u with the minimum value or maximum
value displayed.
• Toreturntothecoefficiententryscreenwhenthesolution(or
minimum/maximum value) is displayed, press e or j.
• Toclearallthecoefficients,press@ Z .
MATRIX CALCULATIONS
34
You can store and calculate up to four matrices.
Entering and Storing Matrices
1. Press b 5 to enter MATRIX mode.
2. Press N 1 to bring up the matrix entry screen.
• Anymatrixdataremaininginthebuffer,alongwithanypreviously
entered, loaded, or calculated matrix data, will be displayed.
3. Define the matrix dimensions (up to four rows by four columns) by
entering the required dimensions using the number keys and pressing
e.
Matrix dimensions (row × column)
Element fields
Entry field
Matrix entry screen (example)
4. Enter each element in the matrix by entering a value in the entry field
and pressing e.
• Eachmatrixelementcandisplayuptosevendigits(thedecimal
point counts as one digit). If an element exceeds seven digits in
length, it may be displayed in exponent notation within the matrix.
• Amaximumofthreerowsbythreecolumnscanbedisplayedat
one time. Use u, d, l, and r to move the cursor
through the matrix.
5. When you have entered a value for each element, press j to exit
the matrix entry screen.
6. PressN 3 and select a memory (matA–matD) to store the
newly-created matrix in.
4/9
Modifying a stored matrix
1. To load a stored matrix into the matrix entry screen, press N
2, then select the memory (matA–matD) that you wish to
modify.
• Loadingnewdataintothescreenwillautomaticallyreplaceany
data that may already exist there.
2. Modify the values of elements in the matrix, and press e after
each one.
• Ifyouwishtomodifythenumberofrowsorcolumns,firstpress
j N 1. You can then enter new values for the matrix
dimensions.
3. When you have finished making changes, press j to exit the
matrix entry screen.
4. Press N 3 and select a memory (matA–matD) to store the
newly-created matrix in.
Using Matrices in Calculations
Matrices stored in memories (matA–matD) can be used in arithmetic
calculations (with the exception of division between matrices) and
calculations that use x3, x2, and x-1. You can also use the following
matrix-specific functions that are available in the MATH menu.
det matrix name
Returns the determinant of a
square matrix.
trans matrix name
Returns the matrix with the
columns transposed to rows and
the rows transposed to columns.
identity value
Returns the identity matrix with
specified value of rows and columns.
dim (matrix name, row, column) Returns a matrix with dimensions
changed as specified.
Simultaneous Linear Equations
After closing the input table, you can view statistical values, view
regression coefficient values, and specify statistical variables from the
STAT menu (; 8).
; 8 0: Display statistical values
; 8 1: Display regression coefficient values
; 8 2: Specify statistical value variables
; 8 3: Specify statistical value (Σ related) variables
; 8 4: Specify max/min value variables
; 8 5: Specify regression coefficient variables
Normal Probability Calculations
33
The results obtained by these functions may include a margin of error.
STAT Menu
Statistical Calculation Formulas
32
To carry out addition, subtraction, multiplication, and division using
complex numbers, press b 3 to select COMPLEX mode.
Results of complex number calculations are expressed using two
systems:
1 @ E: Rectangular coordinate system
symbol appears.)
(The
2 @ u: Polar coordinate system
symbol appears.)
(The
fill (value, row, column)
Fills each element with a specified
value.
rand_mat (row, column)
Returns a random matrix with
specified values of rows and columns.
ref(matrix name)
Transform to row echelon form.
rref(matrix name)
Transform to reduced row echelon
form.
Notes:
• Whenthematrixentryscreenisdisplayed,youcannotperform
matrix calculations because the MATH menu is not available.
• Ifthecalculationresultisamatrix,itwillbedisplayedinthematrix
entry screen (note that this replaces any existing data in the buffer).
To store the calculation result, first press j to exit the matrix
entry screen. Press N 3 and select a memory (matA–matD)
to store the newly-created matrix in.
• Whenthecalculationresultsareinmatrixform,pressingneither
l nor r will bring you back to the original expression.
VECTOR CALCULATIONS
35
You can store and calculate up to four vectors of two or three
dimensioninVECTORmode.
Entering and Storing Vectors
Before performing vector calculations, a vector must be created.
Follow the steps below to enter and store vectors.
1. Press b 6toenterVECTORmode.
2. Press N 1 to bring up the vector entry screen.
• Any vector data remaining in the buffer, along with any previously
entered, loaded, or calculated vector data, will be displayed.
3. Define the vector dimensions (2 dimensions or 3 dimensions) by
using the number keys and pressing e.
4. Enter each element in the vector by entering a value in the entry
field and pressing e.
• Eachvectorelementcandisplayuptosevendigits(thedecimal
point counts as one digit).
If an element exceeds seven digits in length, it may be displayed
in exponent notation within the vector.
5. When you have finished entering a value for each element, press
j to exit the vector entry screen.
6. PressN 3 and select a memory (vectA–vectD) to store the
newly-created vector in.
Modifying a stored vector
1. To load a stored vector into the vector entry screen, press N
2, then select the memory (vectA–vectD) that you wish to
modify.
• Loadingnewdataintothescreenwillautomaticallyreplaceany
data that may already exist in the vector entry screen.
2. Modify the values of elements in the vector, and press e after
each one.
• Ifyouwishtomodifythenumberofdimensions,firstpress
j N 1. You can then enter new values for the vector
dimensions.
3. When you have finished making changes, press j to exit the
vector entry screen.
4. Press N 3 and select a memory (vectA–vectD) to store the
newly-created vector in.
Using Vectors in Calculations
vectors stored in memories (vectA–vectD) can be used in arithmetic
calculations (with the exception of division between vectors). You can
also use the following vector-specific functions that are available in the
MATH menu.
DotPro(vector name, vector name)
CrossPro(vector name, vector name)
Angl(vector name, vector name)
Unit(vector name)
Returns the dot product.
Returns the cross product.
Returns the angle.
Returns the unit vector.
Notes:
• Youcanuse“abs”function(absvector name) for the absolute value.
• Whenmultiplyingvectors,thecrossproductiscalculated.
• Whenthevectorentryscreenisdisplayed,pressj and then you
perform vector calculations.
• Ifthecalculationresultisavector,itwillbedisplayedinthevector
entry screen.
To store the calculation result, first press j to exit the vector
entry screen. Press N 3 and select a memory (vectA–vectD)
to store the newly-created vector in.
• Whenthecalculationresultsareinvectorform,pressingneither
l nor r will bring you back to the original expression.
DISTRIBUTION FUNCTIONS
DRILL MODE
The calculator has distribution features to find statistical calculations.
Press b 7, and select the type (NORMAL, BINOMINAL,
POISSON), and then select the desired distribution function.
Note: Calculation results are stored in ANS memory.
Normal Distribution
Math Drill: b 8 0
Math operation questions with positive integers and 0 are displayed
randomly. It is possible to select the number of questions and operator
type.
Normal pdf
Multiplication Table (× Table): b 8 1
Questions from each row of the multiplication table (1 to 12) are
displayed serially or randomly.
Normal cdf
Using Math Drill and × Table
Calculates the probability density of the specified value x for the normal distribution with the specified mean (μ) and standard deviation (σ).
Calculates the probability of a specified intervals x1-x2 for the normal
distribution with the specified mean (μ) and standard deviation (σ).
Inverse Normal
Calculates the inverse cumulative normal distribution function for a
given area (a) under the normal distribution curve specified by mean (μ)
and standard deviation (σ).
Binomial Distribution
Binomial pdf
Calculates a probability density at x for the discrete binomial
distribution with the specified trial number (n) and probability of
success (p) on each trial.
Binomial cdf
Calculates a cumulative probability at x for the discrete binomial
distribution with the specified trial number (n) and probability of
success (p) on each trial.
Poisson Distribution
Poisson pdf
Calculates a probability at x for the Poisson distribution with the specified mean (μ) .
Poisson cdf
Calculates a cumulative probability at x for the Poisson distribution
with the specified mean (μ).
Find the nominal distribution b 7 0
probabilitydensityforx=65
0 65 e 60
when the normal distribution
of the test score averages is e 6
60withastandarddeviation
of6.
e
Calculate the probability of b 7 0
rangex=54to66inthe
1 54 e 66
above sample.
e 60 e 6
e
x:
μ:
s : 6_
65.
60.
ANS =
0.046985312
Normal cdf
x 1:
x 2:
μ:
s : 6_
54.
66.
60.
ANS =
e6
μ:
s : 6_
e
ANS =
0.8
60.
Binomial pdf
x
n
p
:
:
: 0.3_
7.
15.
ANS =
0.081130033
e
Binomial cdf
x
n
p
:
:
: 0.3_
7.
15.
e
Poisson pdf
x
μ
:
: 3.6_
4.
ANS =
0.191222339
Find the probability within
the range up to x = 4.
b72
1 4 e 3.6
Poisson cdf
e
ANS =
x
μ
:
: 3.6_
An error will occur if an operation exceeds the calculation ranges, or if
a mathematically illegal operation is attempted. When an error occurs,
pressing l or r automatically moves the cursor back to the place
in the equation where the error occurred. Edit the equation or press j
or @ Z to clear the equation.
ERROR 01: Syntax error
• Anattemptwasmadetoperformaninvalidoperation.
Ex. 2 + & 5 =
ERROR 02: Calculation error
• Theabsolutevalueofanintermediateorfinalcalculationresultequals
or exceeds 10100.
• Anattemptwasmadetodividebyzero(oranintermediatecalculation
resulted in zero).
• Thecalculationrangeswereexceededwhileperformingcalculations.
• 0oranegativenumberwasenteredasastepvalueinTABLEmode.
The absolute value of a starting value or a step value equals or
exceeds 10100 in TABLE mode.
• Whenthenumbertobefactoredintoprimesisgreaterthan2and
other than a 10-digit positive integer, or when the result of prime
factorization is a negative number, decimal, fraction, r, or π.
ERROR 03: Nesting error
• Theavailablenumberofbufferswasexceeded.(Thereare10buffers*
fornumericvaluesand64buffersforcalculationinstructions).
* 5 buffers in COMPLEX mode, and 1 buffer for matrix/vector data.
ERROR 04: Data over error
• Dataitemsexceeded100inSTATmode.
ANS =
0.949987459
Find the probability density b 7 2
of x = 4, for the mean of a
0 4 e 3.6
Poissondistributionof3.6.
ERRORS AND CALCULATION RANGES
Errors
Error codes and error types
65.0497274
Calculate the probability of b 7 1
rangeuptox=7(success
1 7 e 15
number) in the above
e 0.3
sample.
×
The range of questions for each operator type is as follows.
+
Addition operator: “0 + 0” to “20 + 20”
]
Subtraction operator: “0 - 0” to “20 - 20”; answers are
positive integers and 0.
>
Multiplication operator: “1 × 0” or “0 × 1” to “12 × 12”
)
Division operator: “0 ÷ 1” to “144 ÷ 12”; answers are positive
integers from 1 to 12 and 0, dividends of up to 144, and
divisors of up to 12.
+]>)
Mixed operators: Questions within all the above ranges are
displayed.
b70
2 0.8 e 60 a :
e
×
Ranges of Math Drill Questions
Inverse Normal
Find the probability density b 7 1
for15trialswithx=7,for
0 7 e 15
the binomial distribution with
success probability of 30%. e 0.3
1. Press b 8 0 for Math Drill or b 8 1 for × Table.
2. Math Drill: Use u and d to select the number of questions (25,
50, or 100).
Table: Use u and d to select a row in the multiplication
table (1 to 12).
3. Math Drill: Use l and r to select the operator type for
questions (+, -, ×, ÷, or +-×÷).
Table: Use l and r to select the order type (“Serial” or
“Random”).
4. Press e to start.
When using Math Drill or × Table (random order only), questions are
randomly selected and will not repeat except by chance.
5. Enter your answer. If you make a mistake, press j or N to clear
any entered numbers, and enter your answer again.
6. Presse.
• Iftheansweriscorrect,“ ” appears and the next question is
displayed.
• Iftheansweriswrong,“ ” appears and the same question is
displayed. This will be counted as an incorrect answer.
• Ifyoupresse without entering an answer, the correct answer
is displayed and then the next question is displayed. This will be
counted as an incorrect answer.
7. Continueansweringtheseriesofquestionsbyenteringtheanswer
and pressing e.
8. After you finish, press e and the number and percentage of
correct answers are displayed.
9. Press e to return to the initial screen for your current drill.
Normal pdf
0.682689492
Find the value of x for the
probability of 0.8 in the
above sample.
To exit DRILL mode, press b and select another mode.
ERROR07:Definitionerror
• Matrixdefinitionerrorortheattemptedenteringofaninvalidvalue.
ERROR 08: DIM unmatched error
• Matrix/vectordimensionsinconsistentwhilecalculating.
ERROR 10: Undefined error
• Undefinedmatrix/vectorusedincalculation.
Alert Messages
4.
0.706438449
Cannot delete!
• TheselecteditemcannotbedeletedbypressingN or @ y
intheWriteVieweditor.
Ex. * 5 r A l N
In this example, delete the exponent before attempting to delete the
parentheses.
Cannot call!
• Thefunctionoroperationstoredindefinablememory(D1toD3)
cannot be called.
Ex. An attempt was made to recall a statistical variable from within
NORMAL mode.
5/9
Buffer full!
• Theequation(includinganycalculationendinginstructions)exceeded
itsmaximuminputbuffer(159charactersintheWriteVieweditoror
161charactersintheLineeditor).Anequationmaynotexceedits
maximum input buffer.
Calculation Ranges
36
• Within the ranges specified, this calculator is accurate to ±1
of the 10th digit of the mantissa. However, a calculation error
increases in continuous calculations due to accumulation of each
calculation error. (This is the same for y x, xr, n!, ex, ln, Matrix/
Vector calculations, Π , etc., where continuous calculations are
performed internally.)
Additionally, a calculation error will accumulate and become
larger in the vicinity of inflection points and singular points of
functions.
• Calculationranges
±10-99 to ±9.999999999 × 1099 and 0.
If the absolute value of an entry or a final or intermediate result of
a calculation is less than 10-99, the value is considered to be 0 in
calculations and in the display.
Display of results using r (when EXACT is selected)
Calculation results may be displayed using r when all of the following
conditions are met:
• Whenintermediateandfinalcalculationresultsaredisplayedinthe
following form:
aP
b
cP
d
±
± 
e
f
• Wheneachcoefficientfallsintothefollowingranges:
1 ≤ a < 100; 1 < b < 1,000; 0 ≤ c < 100;
1 ≤ d < 1,000; 1 ≤ e < 100; 1 ≤ f < 100
• Whenthenumberoftermsintheintermediateandfinalcalculation
results is one or two.
Note: The result of two fractional terms that include r will be reduced to
a common denominator.
BATTERY REPLACEMENT
Notes on Battery Replacement
Improper handling of batteries can cause electrolyte leakage or explosion.
Be sure to observe the following handling rules:
• Makesurethenewbatteryisthecorrecttype.
• Wheninstalling,orientthebatteryproperlyasindicatedinthe
calculator.
• Thebatteryisfactory-installedbeforeshipment,andmaybeexhausted
before it reaches the service life stated in the specifications.
Notes on erasure of memory contents
When the battery is replaced, the memory contents are erased.
Erasure can also occur if the calculator is defective or when it is
repaired. Make a note of all important memory contents in case
accidental erasure occurs.
When to Replace the Battery
If the display has poor contrast or nothing appears on the display when
j is pressed in dim lighting, even after adjusting the display contrast,
it is time to replace the battery.
Cautions
• Anexhaustedbatteryleftinthecalculatormayleakanddamagethe
calculator.
• Fluidfromaleakingbatteryaccidentallyenteringaneyecould
result in serious injury. Should this occur, wash with clean water and
immediately consult a doctor.
• Shouldfluidfromaleakingbatterycomeincontactwithyourskinor
clothes, immediately wash with clean water.
• Iftheproductisnottobeusedforsometime,toavoiddamagetothe
unit from a leaking battery, remove it and store in a safe place.
• Donotleaveanexhaustedbatteryinsidetheproduct.
• Keepbatteriesoutofthereachofchildren.
• Explosionriskmaybecausedbyincorrecthandling.
• Donotthrowbatteriesintoafireastheymayexplode.
Replacement Procedure
1. Turn the power off by pressing @ o.
2. Remove two screws. (Fig. 1)
Fig. 1
3. Lift the battery cover to remove.
4. Remove the used battery by prying it out with
a ball-point pen or other similar pointed device.
(Fig. 2)
5. Install one new battery. Make sure the “+” side
is facing up.
6.Replacethecoverandscrews.
Fig. 2
7.PresstheRESETswitch(ontheback)withthe
tip of a ball-point pen or similar object.
8. Adjust the display contrast. See “Adjusting the
display contrast”. And then press j.
• Makesurethatthedisplayappearsasshown
below. If the display does not appear as shown,
remove the battery, reinstall it, and check the
display once again.
Autom
This ca
pressed
SPEC
Display
Display
Interna
Pendin
Power s
Operati
(varies
and oth
Operati
Externa
Weight
Automatic Power Off Function
eded
or
s
36
each
/
e
f
ng
e
n
ed to
osion.
usted
en
rast,
This calculator will turn itself off to save battery power if no key is
pressed for approximately 10 minutes.
SPECIFICATIONS
Display:
96× 32 dot matrix liquid crystal display
5
o
0.
@Z
CALCULATION EXAMPLES
EXEMPLES DE CALCUL
EJEMPLOS DE CÁLCULO
Display of calculation results:
Mantissa: 10 digits
Exponent: 2 digits
ud
EL-W516T
1
3(5 + 2) =
3(5+2)=
21.
2
3×5+2=
3k5+2=
17.
3
(5 + 3) × 2 =
( 5 + 3) k 2 =
16.
→
1
@u
21.
83 =
Internal calculations:
Mantissas of up to 14 digits
→
2
d
17.
p
49 -
Pending operations:
64calculations10numericvalues
(5 numeric values in COMPLEX mode, and 1
numericvalueforMatrix/Vectordata.)
→
1
u
21.
o
→
3
@d
16.
Power source:
Built-in solar cells
1.5V…
—(DC):Backupbattery
(Alkaline battery (LR44 or equivalent) × 1)
Operating time:
Approx. 3,000 hours when continuously
(varies according to use displaying55555at25°C(77°F),usingthe
and other factors)
alkaline battery only
3p
27
6
1
J (FSE)
Operating temperature:
0°C–40°C (32°F–104°F)
External dimensions:
80 mm (W) ×166mm(D)× 15 mm (H)
3-5/32” (W) ×6-17/32”(D)× 19/32” (H)
100000 ÷ 3 =
Weight:
Approx. 108 g (0.24 lb) (including battery)
[NORM1]
j 100000 z 3
=UU
33'333.33333
→ [FIX: TAB 2] @ J 1 0 2
33'333.33
→ [SCI: SIG 2] @ J 1 1 2
3.3b04
→ [ENG: TAB 2] @ J 1 2 2
33.33b03
→ [NORM1]
2
@J13
33'333.33333
J (EDITOR)
→ [APPROX.]
j@J201
1÷2=
1z2=
0.5
→ [EXACT(a/b,r,p)] j @ J 2 0 0
1÷2=
0.
+&kz()S`
45 + 285 ÷ 3 =
j 45 + 285 z 3
=
140.
(18 + 6) ÷ (15 - 8) =
( 18 + 6 ) z
( 15 & 8 =
3
5C2
42 × -5 + 120 =
42 k S 5 + 120 =
-90.
500 ×
(5 × 10 ) ÷ (4 ×
3
10-3)
= 5`3z
4`S3=
1'250'000.
34 + 57 =
34 + 57 =
45 + 57 =
45 =
68 × 25 =
68 k 25 =
1'700.
68 × 40 =
40 =
2'720.
j 6789 =
6'789.
8
91.
102.
<>
6789=
→ [ON]
;>
6.789b03
1
2
;>
0.006789b06
611 ÷ 495 =
;<
0.
U
116
1
495
611

495
U
1.234
U
1.234343434
U
1
611 z 495 =
he
nd
the
o
4
2
5
116
495
1.2(34)
611 z 495 =
→ [OFF]
U
1.234343434
U
1m116m495
U
611m495
U
1.2(34)
j@J5
0
0.
U
3
4
+=
P
3 ×P
5 =
j2W5r
+W3r4
=
3
20
1
U
23

20
U
1.15
U
1
*3rk*5
=
H
15
3
20
3.872983346
U
sin 45 =
9
6789.b00
v 45 =
Q
2

2
0.707106781
U
6/9
120 ÷
p
cos  [rad] =
4
Q
3

2
0.866025403
@J01
$sW4=
U
tan-1 1 [g] =
Q
2

2
0.707106781
DEG
50.
10
F
(x
2
n=1
n=1
(x 4 d
( xdx==
11
I
∑ (x
x=1
n=1
@J00
(cosh 1.5 + sinh 1.5)2 = j ( H $
1.5 + H v
1.5 ) A = 20.08553692
5
-1
@
>t(
tanh  =
7
5 z 7 ) = 0.895879734
i 20 =
GRAD
5
@J02
@y1=
ln 20 =
|5 - 9
6789000.b-03
j@J00
v 60 =
sin 60 [°] =
400 -
8
v$tw^ysH>
ilO" VYZA1
m*DqBecaW
U
or
=
RAD
0.
J (RECURRING DECIMAL)
j@J5
1
=
10P3
500 +
;<;<
3
3
7
7

1z2=
4! =
2.995732274
n=2
12
;
5
(x
∏
=
x
1
1.698970004
n=1
@ O 2 r 16384 =
14.
n=2
o
@ O 2 H 16384 )
=
14.
13
e3 =
@"3=
1÷e=
1 z ; V = 0.367879441
101.7 =
@ Y 1.7 =
50.11872336
1
6
6@Z+7
@Z=
13

42
log 50 =
l 50 =
log2 16384 =
1
7
+=
U
8-2
-3 ×5 =
4
2
8mS2r
&3m4r
k5A=
20.08553692
]
90° →
→ [g]
→ [°]
0.309523809
14
;
8×2
-2024
63

64
129599

64
U
-
U
-2'024.984375
24 ÷
(8 × 2
o
8mS2&
3m4k5
A=
0.
21.
0
-2024m63m64
-129599m64
U
16.
83 =
8@1=
17.
p
49 - 4p
81 =
* 49 r & 4 @
D 81 =
21.
o
* 49 & 4
@ D 81 =
4.
3p
@ q 27 =
3.
4! =
4@B=
21.
16.
27 =
40.
3
7
3
90.
00.
91.
102.
=
10P3
5C2
=
24.
720.
10.
5@c2=
500 × 25% =
500 k 25 @ a
120 ÷ 400 = ?%
120 z 400 @ a
125.
30.
500 + (500 × 25%) = 500 + 25 @ a
625.
400 - (400 × 30%) = 400 & 30 @ a
280.
|5 - 9| =
4.
Q
3

2
403
Q
2

2
781
-) M2 × 5%
692
–
M=
tM
665.
2
 = 2  …(A)
5
4+6
24 z ( 4 + 6
)=
2
3 × (A) + 60 ÷ (A) =
3 k ; < + 60
z;<=
24
sinh-1
D1
sinh-1 0.5 =
10.
ANS + 5 =
+5=
15.
1
4
3 +  =
2
3
-100 ≤ q ≤ 100
0 ≤ q ≤ 200
o
(x2 - 5)dx
j;F2u8r
;XA&5
n = 100
=
138.
5
* 4m5m6 = 4 
6
n = 10
l l H 10 =
138.
17
(
x=2
dx = 0.00002
11
r2=
50.
I
29m6
4.833333333
zrgh/dn4p
xC
@ h 1AC
→ BIN
@z
BIN
→ PEN
@r
PEN
3203
→ OCT
@g
OCT
654
x=1
n=1
=
25.
→ DEC
@/
n=2
llH2=
15.
BIN (111) → NEG
@z
d 111 =
14.
13
x
1
2'520.
105.
]
90° → [rad]
j 90 @ ]
1
J

2
→ [g]
@]
100.
→ [°]
@]
90.
336
13

42
14
;txmM<IJK
8×2
M
j8k2xM
16.
24 ÷ (8 × 2) =
24 z ; M =
1
(8 × 2) × 5 =
;Mk5=
63
1
2
80.
110101100
428.
1011 AND 101 = @ z 1011
[BIN]
4 101 =
;
BIN
1111111001
BIN
1
5A OR C3 =
[HEX]
@ h 5A p
C3 =
HEX
NOT 10110 =
[BIN]
@zn
10110 =
24 XOR 4 =
[OCT]
@ g 24 x
4=
OCT
20
B3 XNOR 2D =
[HEX]
@ h B3 C
2D =
HEX
FFFFFFFF61
→ DEC
@/
18
x
86’400.
x
25.
A2
A
j6H4
@u
r:
{:
7.211102551
33.69006753
14 H 36
@E
X:
Y:
11.32623792
8.228993532
A
26
:L
V0 = 15.3 m/s
t = 10 s
1 gt2 ? m
V0t + 
=
2
125 yd = ? m
sin x
j 15.3 k 10 + 2
@Zk;:
03 k 10 A =
U
St
643.3325
j 125; L 05 =
UU
St
114.3
27
21
N (ENG.SYMBOL)
22
D
100 N 0 4 k
10 N 0 0 =
1'000.
n
→ [FIX, TAB = 1]
j@J101
5 ÷ 9 = ANS
5z9=
0.0
5

9
U
0.6
k 9 = *1
5.0
5z9=
5

9
0.6
U
→ [MDF]
@n
ANS × 9 =
k 9 = *2
3

5
D
2
5
5
UU
5.4
@J13
5.4
5
*1  × 9 = 5.5555555555555 × 10-1 × 9
9
3
*2  × 9 = 0.6 × 9
5
BIN
DB
1111101001
23 ÷ 5 =
j 23 @ 6 5
=
Q:
R:
4.
3.
9.5 ÷ 4 =
9.5 @ 6 4
=
Q:
R:
2.
1.5
-32 ÷ (-5) =
S 32 @ 6
S5=
Q:
R:
6.
-2.
42.195 → [ipart]
N 3 42.195
=
P
2 → [fpart]
N4*2=
-34.5 → [int]
N 5 S 34.5
=
-35.
50 × 8(%)
50 k 8 N 6
+ 200 =
204.
+ 200 =
28
D
42.
0.414213562
24 5
12210 =
j 12210 =
12'210.
-159.
[ : N (→sec, →min)
7°31’49.44” → [10] j 7 [ 31 [
49.44 @ :
123.678 → [60]
0.884635235
23 6 N (ipart, fpart, int, (%))
HEX (1AC)
j;I1r5r
;X+2
5
11001
f (x)
uEH
r=
x=6
y = 4 → q = [°]
→ [NORM1]
∑ (x + 2)
12
19
4m5m6*
DEC (25) → BIN j @ / 25
@z
BIN
+6;XA
llH2=
375
3W1W2
+4W3=
U
(x 4 - 0.5x 3 + 6x 2) ; G ; X m 4 r
d
dx
& 0.5 ; X @ 1
0 [ 0 [ 1500
N2
ANS × 9 =
U
FG
n=2
599

4
5
6
4
4.833333333
14.

4 64
j3@k1d2
r+W4d3=
U
8
1500” → [’]
Wk
0≤q≤p
2
24 [ N 1
100 m × 10 k = ?
p ≤q≤ p
-

2
2
004
809
256.
A=
RAD
10
24° → [”]
25
2(3q36."
16.
8k2=
29

6
GRAD
v 62 [ 12 [
24 =
20
0.481211825
j6+4=
16
sin 62°12’24”
= [10]
I 0.5 =
6 + 4 = ANS
ANS =
3 [ 45 & 1.69 =
@:
xI@>v
15
8 × 2 = ANS
3h 45m – 1.69h
= [60]
(
(
r = 14
( q = 36 [°] → ( xy ==
1
5
32 
U
=
441
2
5
0 ≤ q ≤ 180
n=1
692
35.
-90 ≤ q ≤ 90
j;;1r5r
;X+2
274
tMk5@a
@M
DEG
(x + 2)
∏
=
734
250.
q = cos-1 x
5
50.
M2 250 m
q = sin-1 x, q = tan-1 x
-03
>
1
W
450.
150 k 3 m
+) $250: M1 + 250
b06
b00
M1
2
@W5&9=
89.
b03
4.
10 @ e 3 =
700.
720.
512.
0.
jxM
$150 × 3
-2'024.984375
U
17.
M
123.678 @ :
3h 30m 45s +
3 [ 30 [ 45
6h 45m 36s = [60] + 6 [ 45 [
36 =
1234°56’12” +
1234 [ 56 [
0°0’34.567” = [60] 12 + 0 [ 0
[ 34.567 =
7/9
663
1250
7
123(40q40.8"
1234567 =
@5
2×3×5×11×37
@5
12'210.
1234567 =
@5
10(16 q21."
1234(56 q47."
1'234'567.
127×(9721)
(95 −

sx
25
3q36."
2
f (x) = x3 - 3x2 + 2
5235
x = -1
6’400.
1
1
8
@ 2 S 0.5 e
A2 + B2
2551
6753
-2.
@2S1e
x = -0.5
25.
DATA
j;X@13;XA+2
*;AA+;
BA
A = 2, B = 3
@2
2e3e
H
13
A = 2, B = 5
@2
e5e
H
29
3792
3532
x
y
2
2
5
5
12
24
21
21
21
40
40
40
15
25
X
3 21
4 15
5
Y
3
1
Stat 1[a+bx]
_
;8
1
3325
114.3
27
Start = 0
@30ee
Start = 180
e 180 e e
b (STAT)
DATA
20
30.
150.
INS-D
6.528394256
y = 46 → x´ = ? 46 @ V
24.61590706
DATA
X
30
FRQ
1
z
40
0.0
40
5

9
20 e 30 e 40 H 2 e 50 e
50
0.6
X
5.0
5

9
FRQ
3 4
4 5
z5 z
↓
2
1
x
y
12
41
8
13
5
2
23
200
15
71
DATA
30
2
5
5
@u@ydd;
45 H 3 e 60 e
b 1 2 12 H 41 e
8 H 13 e 5 H 2 e
23H 200 e 15H 71 e
X
4 23
5 15
6
5.4
40
45
X
Stat 2[a+bx+cx2]
_
42.
3
1
22 x´
1:
2:
-3.432772026
X
22 x´2
3
1
sy =
n
Stat 0 [SD]
sy =
0.
d
=
=
=
=
12.3717915
153.061224
530.
41'200.
d
=
=
=
=
50.
75.
75.
80.
=
95.
j ( 95 &
;821
)z
;822
k 10 + 50 =
n-1
Sy
–
y=
;8
0
d
 × 10 + 50 =
sx
50
8
60
13
70
10
80
7
90
3
X
7 8
8 9
9 z
2
5
30
–2
S y 2 - ny

n-1
S y 2 - ny– 2

n
{
x+y-
6x + 6
14x -
x=?
y=?
z=?
det(D)
Stat 0[SD]
–
x=
;82
1=
–
x=
sx =
;82
4=
sx=
0.
60.4
3x2 + 4
x=?
16.48757108
N 1 35 N 0
)=
0.061713
x = 75 → Q(t)?
N 2 75 N 0
)=
0.312061
x = 85 → R(t)?
N 3 85 N 0
)=
t = 1.5 → R(t)?
N 3 1.5 ) =
5x3 + 4
x=?
0.067845
0.066807
34
b (TABLE)
1 2
3 4
X_Start: -2 S 2 e
X_Step: 1 1 e
-2.
ddd
d
[ ]
3 1
2 6
matA ×
dim (m
2.
x2 + 1
b2;
XA+
1e
x+5
;X+
5e
35
32
5
6
1
2
3
2
5
1
6
7
8
b (COMPLEX)
b3
(12 - 6i ) + (7 + 15i ) 12 - 6 O + 7 + 15 O
- ( 11 + 4 O )
- (11 + 4i ) =
=
8.
+5.K
θ1
@ u 8 @ Q 70 + 12
@ Q 25
18.5408873
=
∠42.76427608
r
θ
θ2
r2
B
[ ]
7
8
vectA +
DotPro
36
F
F
F
x
r 1 = 8, q1 = 70°
r 2 = 12, q2 = 25°
→ r = ?, q = ?°
1+i
→ r = ?, q = ?°
@E1+O
=
@u
conj(5 + 2i ) =
1.
+1.K
sin x, c
1.414213562
∠45.
@EN05+2
O)=
5.
sin–1 x
-2.K
tan–1 x
ln x, lo
arg(2 + 3i )
N12+3
O)=
56.30993247
real(15 ∠ 30)
N 2 15 @
Q 30 ) =
12.99038106
img(15 ∠ 30)
N 3 15 @
Q 30 ) =
7.5
64.43210706
b
[ ]
1.
A
r1
8/9
b
[ ]
b2;
XA+
1ee
y
N (→t, P(, Q(, R()
3
6
x=?
y=?
det(D)
7
3
x 2 - nx– 2
S
n
b
{ xx ++
FRQ
_
-3.432772026
x 2 - nx– 2
S
sx =
7.
75.7142857
13.3630621
178.571429
2'210.
sx =
n
=
=
=
=
1×37
–)
(95 −x
5
X_Start: 1 1 e
X_Step: 1 1 e
Sx
–
x=
FRQ
3 75
4 5
5 z
2'210.
9721)
40
9.63201409
29
b10@Z _
95 e 80 H 2 e 75 H 3
e 50 e
-35.
4'567.
3
x2 + 1
24.4880159
y = 22 → x´ = ? 22 @ V
_
204.
30
0.
x = 10 → y´ = ? j10@ U 10 y´
b (STAT) _ 8 V U
3562
1
0.99994896
22 ; 8
55
6.
-2.
20
x = 35 → P(t)?
31
5.357506761
-3.120289663
0.503334057
60
DATA
95
80
80
75
75
75
50
FRQ
FRQ
3 45
4 6
5 z
45
28
FRQ
1
1
d
45
2.
1.5
Y
2
71
INS-D
40
5.4
4.
3.
46 x´
;8
1
0.6
3

5
654'836.
5.
40.
x = 3 → y´ = ? j 3 @ U 3 y´
b10
1'000.
=
=
=
j;
80
dd
dd
d
j v ; X - 0.5
0.
1.050261097
1.826044386
0.995176343
26 3
sin x - 0.5
FRQ
4
25
x
33
b 1 0 20 H 1 e
30 H 3 e 40 H 5 e
50 H 8 e 60 H 13 e
70 H 10 e 80 H 7 e
90 H 3 e
DATA
b112H5H2e
12 H 24 e 21 H 40 H 3
e 15H 25 e
yx
33
b (2-VLE, 3-VLE, QUAD, CUBIC)
{ xx ++
2
5
3y = 4
6y = 7
60.4
x+y-z=9
6x + 6y - z = 17
14x - 7y + 2z = 42
b41
1e1eS1e9e
6 e 6 e S 1 e 17 e
14 e S 7 e 2 e 42
-1.
2.
det(D) = ?
3x2 + 4x - 95 = 0
b42
3 e 4 e S 95
x=?
3.238095238
-1.638095238
-7.4
105.
e X=
1:
2:
5.
-6.333333333
Ymin:
e X=
1:
2:
845
-10100 < x ≤ 230.2585092
10 x
-10
100
sinh–1 x
1 ≤ x < 1050
tanh–1 x
|x| < 1
x
2
| x | < 1050
x
3
| x | < 2.15443469 × 1033
-0.666666666
x –1
| x | < 10100 (x ≠ 0)
-96.33333333
n!
0 ≤ n ≤ 69*
nPr
0.216800153
±1.043018296K
-2.
[ ]
matA
[ ]
matB
3 1
2 6
matA × matB =
dim (matA, 3, 3) =
2.
35
[ ]
5
6
1.
[ ]
7
8
0°0’0.00001” ≤ | x | < 10000°
8.
5.K
873
608
1.
1.K
vectA
vectB
13
17
27
1
2
^
3
4
^
^
^
^
]
]
12
14
36
Dynamic range
Plage dynamique
Rango dinámico
DEG: | x | < 1010
(tan x : | x | ≠ 90(2n - 1))*
p
RAD: | x | < 
× 1010
180
p
(tan x: | x | ≠  (2n - 1))*
10
DEG → RAD, GRAD → DEG: | x | < 10100
p
RAD → GRAD: | x | < 
1098
2 ×
nGCDn, nLCMn
0 < n < 1010 *
R.Int(m, n)
|m| ≤ 9999999999*
|n| ≤ 9999999999*
m < n, n - m < 1010
→ DEC
→ BIN
→ PEN
→ OCT
→ HEX
AND
OR
XOR
XNOR
DEC: | x | ≤ 9999999999
BIN: 1000000000 ≤ x ≤ 1111111111
0 ≤ x ≤ 111111111
PEN: 2222222223 ≤ x ≤ 4444444444
0 ≤ x ≤ 2222222222
OCT: 4000000000 ≤ x ≤ 7777777777
0 ≤ x ≤ 3777777777
HEX: FDABF41C01 ≤ x ≤ FFFFFFFFFF
0 ≤ x ≤ 2540BE3FF
NOT
BIN: 1000000000 ≤ x ≤ 1111111111
0 ≤ x ≤ 111111111
PEN: 2222222223 ≤ x ≤ 4444444444
0 ≤ x ≤ 2222222221
OCT: 4000000000 ≤ x ≤ 7777777777
0 ≤ x ≤ 3777777777
HEX: FDABF41C01 ≤ x ≤ FFFFFFFFFF
0 ≤ x ≤ 2540BE3FE
NEG
BIN: 1000000001 ≤ x ≤ 1111111111
0 ≤ x ≤ 111111111
PEN: 2222222223 ≤ x ≤ 4444444444
0 ≤ x ≤ 2222222222
OCT: 4000000001 ≤ x ≤ 7777777777
0 ≤ x ≤ 3777777777
HEX: FDABF41C01 ≤ x ≤ FFFFFFFFFF
0 ≤ x ≤ 2540BE3FF
2
(tan x: | x | ≠ 100(2n - 1))*
sin–1 x, cos–1 x
|x| ≤ 1
tan–1 x, 3P
x
| x | < 10100
ln x, log x, loga x
10–99 ≤ x < 10100, 10–99 ≤ a < 10100 (a ≠ 1)
yx
-10100 < x log y < 100
• y = 0: 0 < x < 10100
• y < 0: x = n
1
(0 < | x | < 1: 
x = 2n - 1, x ≠ 0)*,
100
10
log
< x | y | < 100
(AC - BD) < 10100
(AD + BC) < 10100
AC + BD

10100
C2 + D2 <
(A + Bi ) ÷ (C + Di ) BC - AD

10100
C2 + D2 <
2
2
C +D ≠0
GRAD: | x | < 
1010
9 ×
• y > 0:
180
DRG►
(A + Bi ) × (C + Di )
83.
sin x, cos x, tan x
0 ≤ r < 10100
DEG: | q | < 1010
p
RAD: | q | <  × 1010
(A + Bi ) - (C + Di ) | A - C | < 10100, | B - D | < 10100
N12e
7e8e
jN31
Function
Fonction
Función
x 2 + y 2 < 10100
(A + Bi ) + (C + Di ) | A + C | < 10100, | B + D | < 10100
b6
N12e
5e6e
jN30
DotPro (vectA, vectB) = j N 4 N 0
0HN01
)=
106
7.5
7
[ ]
562
247
[
< 10100
10
jN 0 0 +
N01=
∠45.
5.
2.K
jN7N
00H3H3
)=
[
n!

(n - r)!
GRAD: | q | < 
1010
9 ×
b (VECTOR)
vectA + vectB =
O
jN 0 0 k
N01=
< 10100
↔DEG, D°M’S
r, q → x, y
N1e
3e1e2e6e
jN31
n!

(n - r)!
0 ≤ r ≤ n ≤ 9999999999*
0 ≤ r ≤ 69
x, y → r, q
b5
N122e
1e2e3e4e
jN30
0 ≤ r ≤ n ≤ 9999999999*
nCr
-1.233600307
b (MATRIX)
1 2
3 4
| x | < 1050
cosh x
–1
807
34
< x < 100
sinh x, cosh x, tanh x | x | ≤ 230.2585092
0 ≤ x < 10100
b43
5x3 + 4x2 + 3x + 7 = 0 5 e 4 e 3 e 7
x=?
ex
x
P
e X-Value:
713
1
-10100 < 
x log | y | < 100
-3.
e X:
Y:
Z:
D:
108
061
y
P
e X:
Y:
D:
x=?
y=?
z=?
0.
x
x=?
y=?
det(D) = ?
{
1
-10100 < 
x log y < 100 (x ≠ 0)
• y = 0: 0 < x < 10100
• y < 0: x = 2n - 1
1
(0 < | x | < 1: 
x = n, x ≠ 0)*,
• y > 0:
b40
2e3e4e
5e6e7
9/9
Normal pdf
Normal cdf
0<s
Inverse Normal
0<a<1
0<s
Binomial pdf
Binomial cdf
0<n
0≤p≤1
Poisson pdf
Poisson cdf
0 ≤ x (integer / entier / entero)
0<μ
* m, n, r: integer / entier / entero