Truth Table Generator | Boolean Simplifier

Truth table generator for any Boolean expression, with step columns, minterms, minimal SOP and POS forms and an equivalence check. Free, in your browser.

Also known as: truth table generator · truth table calculator · boolean expression to truth table · truth table generator with steps · boolean algebra simplifier · boolean expression simplifier · logic truth table maker · sum of products calculator · minterm calculator · logical equivalence checker

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Boolean Expression Input

Variable names

Show results as

Values and row order

Show step-by-step columns

Operators: NOT ! ~ ¬ not or a trailing ', AND & && * · ∧ and or side by side, XOR ^ ⊕ xor, OR | || + ∨ or, then -> => implies and <-> == iff, in that order of precedence. Also nand nor xnor, constants 0 1 true false, and a name on the left such as F =.

Truth Table

The truth table, minimal SOP and POS forms and minterm list will appear here. Type an expression above, or click Load Example.

About the Truth Table Generator

A truth table lists every combination of inputs to a Boolean expression and the value it produces for each. This generator builds that table from expressions written the way textbooks, circuit diagrams or source code write them, then simplifies each one to its shortest sum of products and product of sums and checks whether several expressions are equivalent.

Key Features

Accepts A'B + AB', p → (q ∧ r), !(a && b) || c and plain words like isAdmin and not isBlocked
Step-by-step columns for every sub-expression, in the order you would work them by hand
Exact minimal SOP and POS forms by Quine-McCluskey, the shortest form a Karnaugh map would find
Minterm and maxterm lists, canonical SOP and POS, and tautology or contradiction detection
Equivalence check across up to 8 expressions, with the first row where two of them disagree
1/0 or T/F values in either row order, with CSV and Markdown export

Use Cases

Check a discrete math or digital logic homework answer before submitting it
Prove that a refactored if statement is equivalent to the original before merging the pull request
Simplify a feature-flag or permissions rule that has grown into a tangle of ANDs and ORs
List every input combination as test cases for a function that takes several Boolean flags
Verify De Morgan's laws or an implication rule while studying for an exam

Related Keywords

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How do you make a truth table for a Boolean expression?

List the variables, then write one row for each of the 2^n combinations of their values: 3 variables give 8 rows, 4 give 16. Evaluate the innermost parts first, NOT before AND before OR, and give each intermediate result its own column, which is what the step-by-step option shows. The rows where the final column is 1 are the minterms, and grouping them is how you reach the shortest sum of products.

Privacy & Security

All processing happens locally in your browser. Your data never leaves your computer, ensuring complete privacy and security.

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Frequently asked questions

What is Truth Table Generator used for?

Truth table generator for any Boolean expression, with step columns, minterms, minimal SOP and POS forms and an equivalence check. Free, in your browser.

Is Truth Table Generator free to use?

Yes. Truth Table Generator is completely free with no usage limits, and there is no paid tier required to use it.

Do I need an account to use Truth Table Generator?

No. Truth Table Generator works immediately in your browser with no signup, login, or email address required.

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