Practice Truth Table in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A table that systematically lists every possible combination of truth values for the input variables and the resulting truth value of the expression.
List every possible combination of T/F for inputs, and compute the output.
Example 1
easyConstruct the truth table for p \Rightarrow q.
Example 2
mediumBuild a truth table to verify that p \Rightarrow q is logically equivalent to \neg p \lor q.
Example 3
mediumConstruct the truth table for \neg(p \land q) and verify it equals \neg p \lor \neg q (De Morgan's Law).
Example 4
mediumConstruct the truth table for p \land \neg q.