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Truth Table Examples
[^] Boolean Algebra Examples   [^^][^^] Binary/Boolean Main Index
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[Truth Table Examples] [Boolean Expression Simplification] [Logic Gate Examples]
The truth tables for the basic operations are:
And
ABAB
00 0
01 0
10 0
11 1
Or
ABA+B
00 0
01 1
10 1
11 1
Not
AA
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.
ABCBCA+BC
000 00
001 00
010 00
011 11
100 01
101 01
110 01
111 11
Draw a truth table for A(B+D).
ABDB+DA(B+D)
000 00
001 10
010 10
011 10
100 00
101 11
110 11
111 11
Draw a truth table for (A+B)(A+C).
ABCA+BA+C(A+B)(A+C)
000 000
001 010
010 100
011 111
100 111
101 111
110 111
111 111
Draw a truth table for W(X+Y)Z.
WXYZWX+YW(X+Y)W(X+Y)Z
0000 1000
0001 1000
0010 1110
0011 1111
0100 1110
0101 1111
0110 1110
0111 1111
1000 0000
1001 0000
1010 0100
1011 0100
1100 0100
1101 0100
1110 0100
1111 0100
Draw a truth table for PT(P+Z).
PTZTPTP+ZPT(P+Z)
000 1000
001 1010
010 0000
011 0010
100 1111
101 1111
110 0010
111 0010