Truth Table Examples

Truth Table Examples

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Boolean Algebra Examples

Binary/Boolean Main Index

[Truth Table Examples] [Boolean Expression Simplification] [Logic Gate Examples]

The truth tables for the basic operations are:

And
A	B	AB
0	0	0
0	1	0
1	0	0
1	1	1

Or
A	B	A+B
0	0	0
0	1	1
1	0	1
1	1	1

Not
A	A
0	1
1	0

For more complicated expressions, tables are built from the truth tables of their basic parts. Here are several:

• Draw a truth table for A+BC.
A	B	C	BC	A+BC
0	0	0	0	0
0	0	1	0	0
0	1	0	0	0
0	1	1	1	1
1	0	0	0	1
1	0	1	0	1
1	1	0	0	1
1	1	1	1	1

• Draw a truth table for A(B+D).
A	B	D	B+D	A(B+D)
0	0	0	0	0
0	0	1	1	0
0	1	0	1	0
0	1	1	1	0
1	0	0	0	0
1	0	1	1	1
1	1	0	1	1
1	1	1	1	1

• Draw a truth table for (A+B)(A+C).
A	B	C	A+B	A+C	(A+B)(A+C)
0	0	0	0	0	0
0	0	1	0	1	0
0	1	0	1	0	0
0	1	1	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	1	1

• Draw a truth table for W(X+Y)Z.
W	X	Y	Z	W	X+Y	W(X+Y)	W(X+Y)Z
0	0	0	0	1	0	0	0
0	0	0	1	1	0	0	0
0	0	1	0	1	1	1	0
0	0	1	1	1	1	1	1
0	1	0	0	1	1	1	0
0	1	0	1	1	1	1	1
0	1	1	0	1	1	1	0
0	1	1	1	1	1	1	1
1	0	0	0	0	0	0	0
1	0	0	1	0	0	0	0
1	0	1	0	0	1	0	0
1	0	1	1	0	1	0	0
1	1	0	0	0	1	0	0
1	1	0	1	0	1	0	0
1	1	1	0	0	1	0	0
1	1	1	1	0	1	0	0

• Draw a truth table for PT(P+Z).
P	T	Z	T	PT	P+Z	PT(P+Z)
0	0	0	1	0	0	0
0	0	1	1	0	1	0
0	1	0	0	0	0	0
0	1	1	0	0	1	0
1	0	0	1	1	1	1
1	0	1	1	1	1	1
1	1	0	0	0	1	0
1	1	1	0	0	1	0