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Truth Table to Logic Expression

Build a supported Boolean expression from rows where the output is true or false. Processing takes place locally in your browser.

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What Truth Table to Logic Expression does

Build a supported Boolean expression from rows where the output is true or false.

Worked example

Input

A,B output true for 01 and 10

Result

A XOR B or its sum-of-products equivalent

Calculation method

Each true row becomes a minterm and the minterms are ORed, then supported simplification rules reduce the expression.

Useful workflows

  • Check a small teaching example and inspect intermediate results.
  • Compare an independently calculated answer or software test fixture.
  • Copy the result together with its input notation and selected options.

Limits and review checks

  • Combinatorial, graph and search problems can grow exponentially and are intentionally size-limited.
  • Confirm integer, modular, set-order, precision and rounding assumptions before comparing answers.
  • Cryptography-related pages are educational demonstrations and must not generate or validate production security keys.

Frequently asked questions

Why is my input rejected?

Check separators, variable names, supported operators, numeric ranges and whether the selected algorithm requires integers.

Can I use this result in a high-stakes decision?

Use the tool for learning and independent checks. Verify legal, financial, safety or security decisions with an authoritative method and qualified reviewer.

Processing takes place locally in your browser.