HW-4 (Base conversion ) Date:__________, Name___________________________________
Please do not use any calculator in doing your homework.
You need Scantron 882E. Please use a pencil to mark the answers. Make sure your Scantron is clean , flat, and not folded
when you submit. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) Write (in the same base) the counting numbers just before and just after 3246 seven.
A) 3245seven, 3247 seven
C) 3254seven, 3250 seven
1)
B) 3245seven, 3250 seven
D) 165 seven, 166seven
2) List the first 10 counting numbers in base 2.
A) 0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001
B) 0, 1, 2, 10, 11, 100, 101, 110, 111, 1000
C) 1, 10, 11, 100, 110, 1000, 1001, 1010, 1100, 10000
D) 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010
2)
3) Write (in the same base) the counting numbers just before and just after 13 eight.
A) 10eight, 12 eight
B) Aeight, Ceight
C) 12eight, 15 eight
D) 12eight, 14 eight
3)
4) Determine the number of distinct symbols needed in base 7.
A) 7
B) 9
C) 8
4)
5) List the first 10 counting numbers in base 16.
A) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
C) 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B
D) 6
5)
B) 1, 2, 3, 4, 5, 6, 7, 8, 9, A
D) 1, 2, 3, 4, 5, 6, 7, 8, 9, 11
6) Write (in the same base) the counting numbers just before and just after DB2 sixteen.
A) CA1sixteen, EC3sixteen
B) DBsixteen, DB4sixteen
C) DB1 sixteen, DB3sixteen
6)
D) CA1sixteen, CA3 sixteen
7) List the first 10 counting numbers in base 9.
A) 1, 2, 4, 5, 7, 8, A, B, C, D
C) 1, 2, 3, 4, 5, 6, 7, 8, 10, 11
7)
B) 1, 2, 3, 4, 5, 6, 7, 8, 11, 12
D) 1, 2, 3, 4, 5, 7, 8, 10, 11
8) Write (in the same base) the counting numbers just before and just after 1044 five.
A) 1043five, 1045 five
8)
B) 1042five, 1101 five
D) 1043five, 1100 five
C) 1043five, 1111 five
9) Write (in the same base) the counting numbers just before and just after 68 nine.
A) 67nine, 70 nine
B) 67nine, 71 nine
C) 67nine, 101nine
D) 66nine, 72 nine
9)
10) Determine for base four the smallest and largest four-digit numbers and their decimal equivalents.
10)
A) 1000four = 64, 3333four = 255
B) 1111four = 85, 4444four = 340
C) 0000four = 0, 4444four = 340
D) 1111four = 85, 3333four = 255
Convert the number to decimal form.
11) 253 eight
A) 171
11)
B) 261
C) 1368
1
D) 80
12) 5022 eight
A) 2578
12)
B) 72
C) 58
D) 40,176
B) 23
C) 35
D) 115
13) 43 five
A) 215
13)
14) 221 five
A) 1105
14)
B) 305
C) 61
D) 25
15) 211 seven
A) 28
15)
B) 1477
C) 106
D) 742
16) 81Etwelve (T = 10ten, E = 11ten)
A) 14,100
16)
B) 9852
C) 1175
D) 240
17) 11101 two
A) 22,202
17)
B) 8
C) 29
D) 58
18) 11100000 two
A) 448
18)
B) 6
C) 224
D) 22,200,000
19) 137 sixteen
A) 215
19)
B) 311
C) 4976
D) 26
B) 43,840
C) 43,842
D) 42,842
C) 140 eight
D) 104 eight
20) AB42sixteen
A) 43,586
20)
Convert the decimal number to the given base.
21) 68 to base eight
A) 102 eight
B) 120 eight
21)
22) 503 to base eight
A) 565 eight
B) 656 eight
C) 767 eight
D) 676 eight
23) 503 to base five
A) 4030five
B) 3004five
C) 3040five
D) 4003five
22)
23)
24) 2,874 to base five
A) 42444 five
B) 42222 five
C) 42422 five
D) 42424 five
25) 2,874 to base seven
A) 11442 seven
B) 11422 seven
C) 11244 seven
D) 11224 seven
26) 13,562 to base seven
A) 54121 seven
B) 53743 seven
C) 53456 seven
D) 54353 seven
24)
25)
26)
2
27) 2,874 to base nine
A) 3483nine
B) 3193nine
C) 3548nine
D) 3843nine
28) 13,562 to base nine
A) 20538 nine
B) 6051nine
C) 1506nine
D) 83502 nine
29) 6784 to base sixteen
A) 1A80sixteen
30) 359 to base two
A) 101011111 two
27)
28)
29)
B) 1A81 sixteen
C) 01A8sixteen
D) 1A08sixteen
30)
B) 101100101 two
C) 101101011 two
D) 101100111 two
Convert the number to the indicated base.
31) 53six to base three
A) 1120three
31)
B) 111 three
C) 1020three
D) 100 three
32) 300 seven to base sixteen
A) 147 sixteen
32)
B) 18sixteen
C) 93sixteen
D) 33sixteen
33) 123 five to base nine
A) 14nine
33)
B) 42nine
C) 24nine
D) 38nine
B) 51eight
C) 63eight
D) 37eight
34) 303 four to base eight
A) 75eight
34)
35) 6E sixteen to decimal
A) 110
35)
B) 1,760
C) 174
D) 74
36) 137 sixteen to decimal
A) 311
36)
B) 4,976
C) 215
D) 26
37) 1010101111001101 two to hexidecimal
A) 125715sixteen
37)
B) B6FE1sixteen
C) ABCD sixteen
D) 111E31 sixteen
38) 1100110010100 two to hexidecimal
A) 3311sixteen
38)
B) 14624 sixteen
C) 14A24sixteen
D) 1994sixteen
39) 7815nine to base three
39)
A) 11211011three
B) 1001251112 three
C) 21220112 three
D) 21121002three
40) 120112210 three to base nine
A) 26083 nine
40)
B) 16483 nine
C) 15443 nine
3
D) 61570 nine
Add in the indicated base.
41)
221 4
+
41)
131 4
A) 10124
B) 352 4
C) 11124
D) 412 4
42)
42)
303 4
+
22 4
A) 10314
B) 325 4
C) 10014
D) 331 4
43)
43)
323 5
+
40 5
A) 313 5
B) 413 5
C) 423 5
D) 403 5
44)
44)
+
445
115
A) 122 5
B) 110 5
C) 131 5
D) 231 5
45)
45)
+
657
117
A) 367
B) 121 7
C) 106 7
D) 767
46)
46)
+
427
357
A) 210 7
B) 140 7
C) 110 7
D) 117 7
47)
47)
+
111 2
112
A) 1010 2
B) 1001 2
C) 1101 2
4
D) 1111 2
48)
48)
435 7
+
417
A) 536 7
B) 406 7
C) 506 7
D) 566 7
49)
49)
10112
+
110 2
A) 11112
B) 11001 2
C) 11000 2
D) 10,0012
50)
50)
+
568
738
A) 151 8
B) 142 8
C) 156 8
5
D) 131 8