Interactive Boolean Calculator
Supported operators: AND, OR, NOT, XOR, parentheses, plus constants true/false or 1/0.
Use comma-separated assignments. Variable names are case-sensitive.
What Is a Boolean Calculator?
A boolean calculator evaluates logical expressions that return only two possible values: true or false. It is useful anywhere decisions must be made from conditions, including programming, search filters, spreadsheet formulas, digital circuits, and data validation rules.
Instead of arithmetic operators like + and -, boolean logic uses operators such as AND, OR, and NOT.
You can combine these with variables (for example, A, B, isAdmin) to model real decision-making logic.
How to Use This Calculator
1) Enter an expression
Type a logical expression like (A AND B) OR NOT C. Parentheses are optional but recommended for clarity.
2) Enter variable values
Provide values in the format name=value, separated by commas. Accepted values are:
trueorfalse1or0
3) Evaluate or generate a truth table
Click Evaluate to compute a single result from your current inputs, or Generate Truth Table to test every possible combination of variables automatically.
Operator Reference
- AND — true only when both sides are true.
- OR — true when at least one side is true.
- NOT — flips a boolean value (true becomes false, false becomes true).
- XOR — true when exactly one side is true (values differ).
Practical Examples
Access control
(isLoggedIn AND isVerified) OR isAdmin determines whether a user can access a private section.
Form validation
hasEmail AND (hasPhone OR hasAddress) checks that required contact data exists.
Alerting logic
(temperatureHigh AND humidityHigh) OR smokeDetected is a common safety rule in IoT systems.
Why Truth Tables Matter
Truth tables are a fast way to verify your logic before writing production code. They help you catch edge cases, especially with nested parentheses and multiple operators. If a rule behaves unexpectedly, the truth table usually reveals where the logic path diverges from your intention.
Common Mistakes to Avoid
- Forgetting parentheses in mixed expressions.
- Missing variable assignments when evaluating.
- Mixing variable name capitalization accidentally (for example,
Avsa). - Assuming XOR behaves like OR.
Final Thoughts
Boolean logic is one of the most foundational skills in computing and analytical thinking. A simple boolean calculator like this makes it easier to design, test, and explain decision logic with confidence. Use it as a quick sandbox for coding tasks, interview prep, circuit concepts, and day-to-day debugging.