Truth Table Generator (Free Logic Calculator)
Use this free truth table generator to build the complete truth table for any logic expression. It supports NOT, AND, OR, XOR, IMPLIES, and IFF, and tells you whether the statement is a tautology, contradiction, or contingency.
Operators you can use
Type ~ for NOT, & for AND, | for OR, ^ for XOR, -> for IMPLIES, and <-> for IFF. The words not, and, or, xor also work. Use parentheses to group.
How to use it
- Type a logic expression with one or more variables.
- Press Build table.
- Read every combination of truth values and the final column.
More tools: free math calculators.
Frequently asked questions
How many variables can I use?
Up to 6 variables, which produces 64 rows.
What is a tautology?
A statement that is true in every row of its truth table. A contradiction is false in every row; anything else is a contingency.
Which operators are supported?
NOT (~), AND (&), OR (|), XOR (^), IMPLIES (->), and IFF (<->), with parentheses.
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