Truth Table Generator: Simplify Your Logical Expressions

Enter a logical expression using the following operators:

How This Tool Works

This truth table generator builds a full table for any propositional logic expression. It reads your input, finds the variables, and tries every true and false mix. It evaluates the result for each row using clear rules. It then shows the table and a short summary.

Use these operators in your expression:

Variables use letters A to Z. Case does not matter. Stick to single letters.

Operator order follows this list:

  1. Parentheses
  2. NOT
  3. AND
  4. Exclusive OR
  5. OR
  6. Implies
  7. Biconditional

Exclusive OR means true when inputs differ. Biconditional means both sides share the same value.

Step-by-Step Instructions

  1. Click the expression box.
  2. Type your formula using letters A to Z.
  3. Add parentheses to make the order clear.
  4. Insert operators using the buttons for quick entry.
  5. Press Enter or click Generate Table.
  6. Review the table and the summary below it.

Input and controls

Reading the output

Tautology means every row is true. Contradiction means every row is false. Contingent means some rows are true and some are false.

Benefits of Our Truth Table Generator

This tool gives fast, accurate truth tables for study and work. You test logic, validate steps, and spot errors before they spread. It also gives a clear summary that speeds up checks.

Why You Need It

Manual tables take time and invite slips. This truth table generator removes that grind. You get the full picture, row by row, with no fuss.

Use it as a quick check before a hand proof. Try a biconditional to test equivalence, like Expr1 ↔ Expr2. Use parentheses often to keep your intent clear.

Keep variable names short and simple. One letter per variable keeps the table clean and easy to scan.

Troubleshooting Tips

Common mistakes and fixes

Wrap-Up

This truth table generator turns logic into clear tables and concise stats. Enter a formula, run the table, and reach a sound answer with confidence.