Truth Table Generator

Build truth tables from logical expressions. Supports common logical symbols and exports.

Input

Enter a boolean expression using variables and logical operators.

Rendered Formula

Truth Table

Generated rows for all combinations of input variables.

No data yet. Click Generate to build the table.

How To Use

Master logical expressions and truth table generation

1

Enter Expression

Use variables like A, B, x1 and symbols ∧ ∨ ¬ ⊕ → ↔.

2

Generate Table

All combinations are evaluated using math.js boolean operators.

3

Export PNG

Download the rendered table as a PNG image.

4

Review Results

Analyze the truth table to understand logical relationships and patterns.

The Truth Table Generator covers fundamental concepts in logic, boolean algebra, and discrete mathematics. It helps students and professionals understand how logical expressions evaluate under all possible input combinations, making it essential for studying propositional logic, digital circuit design, and computer science fundamentals.

This interactive tool supports a comprehensive set of logical operators including conjunction (AND), disjunction (OR), negation (NOT), exclusive OR (XOR), implication, and biconditional operators. Variables are automatically detected from your expressions, and the tool provides real-time KaTeX rendering for mathematical notation clarity.

Beyond basic truth table generation, the tool offers advanced features like PNG export for documentation, symbol insertion buttons for easy input, and robust error handling with user-friendly messages. It's perfect for logic homework, circuit analysis, algorithm verification, and understanding the foundations of boolean logic that underpin modern computing.

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