Boolean Calculator

A fast online tool for students and engineers to evaluate boolean expressions and test logic rules without coding.

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About This Tool

The Boolean Calculator evaluates logical expressions by parsing a string that includes variables and operators. It supports NOT, AND, OR, and optional XOR, with parentheses for grouping. Users supply variable values or request a full truth table to inspect all outcomes. Conceptually, the tool tokenizes input, converts to postfix form using operator precedence, and then computes a boolean result. This approach mirrors how digital logic analyzers operate, enabling rapid validation of logic rules without programming. The primary beneficiaries are students learning logic, QA engineers validating business rules, and developers designing feature flags or conditional logic. Unique value lies in instant, reproducible results and the ability to generate complete truth tables for all variable combinations. Core features include automatic variable extraction, fallback handling for missing values, and friendly error reporting for invalid tokens or syntax. Typical use cases include verifying De Morgan transformations, checking complex conditionals in software, and teaching logic simplification concepts. The tool emphasizes correctness, speed, and clarity in logical evaluation, making it suitable for academic, testing, and development contexts.

How to Use

  1. Enter a boolean expression using variables (e.g., A AND (B OR NOT C))
  2. Optionally provide variable values (A=true, B=false, C=true)
  3. Choose evaluation mode: single result or truth table
  4. Run calculation and view the result or table
  5. Use the output to verify logic design or to teach truth relations
How to use boolean calculator online

Frequently Asked Questions

Find Quick Answers

What inputs are accepted by the tool?
The tool accepts a boolean expression composed of variables and operators (AND, OR, NOT, XOR) with optional parentheses. You may provide a variable assignment mapping for single evaluations or request a full truth table for all variable combinations.
Which operators and precedence are supported?
Supported operators include NOT, AND, OR, and optional XOR. Precedence is NOT first, followed by AND, then OR. Tokens can be written textually or using common symbolic aliases (for example, &&, ||, !, ^) as applicable.
Can I generate a truth table?
Yes. If you select truth-table mode, the tool enumerates all possible combinations of the involved variables and returns rows with each assignment and the corresponding result.
What happens with missing variable values in single evaluation?
Missing values for variables in single evaluation trigger an error, as the result cannot be determined without complete input. Providing explicit values or using truth-table mode avoids this issue.

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