Truth Table 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