Developing Logic Diagrams
Truth Table to Boolean Expression
input
output
P
Q
R
Z
0
0
0
0
0
0
1
1
0
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
1
1
0
0
1
1
1
0
Z = (
P
AND
Q
AND
R)
OR
(
P
AND
Q
AND
R
)
OR
(
P
AND
Q
AND
R)
OR
(P
AND
Q
AND
R)
Truth Table to Boolean Expression to Logic Diagram
input
output
P
Q
R
Z
0
0
0
0
0
0
1
1
0
1
0
1
0
1
1
1
1
0
0
0
1
0
1
1
1
1
0
0
1
1
1
0
Z = (
P
AND
Q
AND
R)
OR
(
P
AND
Q
AND
R
)
OR
(
P
AND
Q
AND
R)
OR
(P
AND
Q
AND
R)
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Alyce Brady, Kalamazoo College