Truth Table Generator
Build a truth table for any logic expression with up to 3 variables. AND, OR, NOT, XOR, implication and equivalence — every combination, worked out instantly.
Variables: A, B, C. Operators: AND (& or ∧), OR (| or ∨), NOT (! or ¬), XOR (^ or ⊕), IMPLIES (-> or →), IFF (<=> or ↔). Brackets group parts.
Your truth table will appear here
Truth table
How to use
- Type a logic expression using variables A, B and C — for example A AND (B OR NOT C).
- Click Generate Truth Table (or tap one of the example chips).
- Read every combination of true and false, and whether the whole expression is a tautology or a contradiction.
Frequently asked questions
Which operators can I use?
AND (& or ∧), OR (| or ∨), NOT (! or ¬), XOR (^ or ⊕), IMPLIES (-> or →) and IFF (<=> or ↔). Use brackets to group parts, for example A AND (B OR C).
How many variables are supported?
Up to 3 variables — A, B and C — which gives at most 8 rows. That covers almost every textbook logic exercise.
What is a tautology?
An expression that is true in every row, whatever the inputs — for example A OR NOT A. A contradiction is false in every row, like A AND NOT A.
What does A → B mean?
Implication: A → B is false only when A is true and B is false. In every other row it is true — that surprises most people the first time they see it.
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