Name ____________________________
Date ________________ pd. ____
2.1.1.a - Truth Tables to Logic Expressions
Procedure:
1. Write the un-simplified logic expression for each of the following truth tables.
J
K
F1
0
0
0
T
E
N
F5
0
1
1
0
0
0
0
J
O
K
E
F7
B
O
A
T
F8
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
1
1
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
1
1
1
0
0
1
0
1
0
0
1
0
1
0
0
1
1
0
0
0
1
1
1
0
1
0
0
1
0
1
0
0
0
0
1
0
1
0
0
1
0
1
1
0
1
1
0
0
0
1
1
0
0
0
1
1
1
1
0
1
1
1
0
1
0
0
0
1
1
0
0
0
0
1
0
0
1
0
1
0
0
1
0
1
0
1
0
1
1
0
1
0
0
1
0
1
1
0
1
0
1
1
0
1
1
0
0
0
1
1
0
0
1
Q
T
F2
1
0
0
1
0
0
1
1
0
1
0
0
1
1
1
1
0
0
1
0
0
1
1
1
1
1
1
1
W
E
F3
0
0
0
C
A
R
F6
0
1
1
0
0
0
0
1
0
0
0
0
1
1
1
1
1
0
1
0
0
0
1
1
1
X
Y
F4
1
0
0
1
1
1
0
1
0
1
1
0
1
0
0
0
0
1
0
1
0
1
1
1
0
1
1
1
1
0
1
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
F1=
F5=
F2=
F6=
F3=
F7=
F4=
F8=
2. Fill in the missing sections of the truth tables. Then complete the truth table based on the given
Logic Expression.
A
B
S1 = A + B
S5 = X Y Z + Z + X Y
S2 = A
S6 = B C + A B C + A B C + A B C
S3 = A + B
S7 = B D + A C + A B C + A B C + A B C D
S4 = A B + A B
S8 = X Y Z + W Z + X Y + W X Y Z
S1
X
Y
Z
S5
A
W
X
1
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
1
0
1
0
A
B
S2
B
C
D
1
1
1
1
X
Y
0
0
0
1
1
0
1
1
X
Y
S3
A
S4
B
C
S6
S7
Y
Z
1
0
0
0
0
0
1
0
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
0
0
0
0
1
1
0
1
0
1
1
0
0
1
0
1
1
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
S8