Digital Design HW 2.pdf

(40212)
:
–
91/7/29 :
(
(
(
(
a.
b.
c.
d.
)
91/7/17 :
)
)=(
)=A
)(
)(
C + (A + B + C
+A
)(
BC AB
C) (A
C) (A
ABC AB
BC
C) (A
C) (A
(A
C’) (A
BC
AB
C) (C
C)
.
B=0 A=1
)
+(
(
)
.3
)
+(
F
(complement
F:
F:
.5
.6
:
:
.
)=
.2
.4
.x=1 z=0 y=0 x=0
.
(B
(canonical) SOP
)
.
. C=0 B=1 A=1
a.
b.
c.
d.
)(
(
A=0, B=1, C=0, D=1
A=1, B=0, C=1, D=0
A=1, B=1, C=1, D=1
A=0, B=0, C=0, D=0
a.
b. ABC
c. A(A
d. (A
.1
(canonical) POS
)(
)+
)+(
)
.7
(40212)
:
:
NOT AND, OR
:
NAND
:
(
)
.
(
XOR
)
(
0
0
0
0
1
1
1
1
b
c
0
0
1
0
1
1
0
0
1
1
1
1
0
1
0
1
{AND, OR, NOT}
F
0
0
.8
(truth table
)
a
:
NOR
F
.9
1
0
1
0
0
1
.
XOR NAND
POS
.10
.11