Boolean Calculator — Truth Table Generator

The Boolean Calculator is a free online tool for evaluating boolean logic expressions and generating complete truth tables. Whether you are a computer science student studying digital logic, an engineer designing circuits, or a programmer debugging conditional statements, this calculator handles all the common logical operations. Simply select your inputs, choose an operator, and get the result instantly along with a full truth table. All processing happens locally in your browser — nothing is uploaded to the internet.

🧮

How to Use This Calculator

1
Choose input count — Select 2, 3, or 4 variables depending on your logic problem.
2
Pick an operator — Select AND, OR, NOT, NAND, NOR, XOR, or XNOR from the dropdown.
3
Set variable values — Toggle each variable (A, B, C, D) to set their true/false states.
4
See results instantly — The expression, result, and truth table update automatically as you change inputs.

📐

Truth Table Reference

AND

A ∧ B = 1 only when both are 1

A ∨ B = 1 when at least one is 1

NOT

¬A = 1 when A is 0

NAND

A ↑ B = 0 only when both are 1

NOR

A ↓ B = 1 only when both are 0

XOR

A ⊕ B = 1 when A and B differ

XNOR

A ↔ B = 1 when A and B match

💡

Why Boolean Logic Matters

💻

Digital Electronics — Every digital device, from smartphones to servers, is built from boolean logic gates. Understanding boolean operations is essential for hardware design.

📝

Programming — Conditional statements (if-else, while loops) rely on boolean expressions. Mastering boolean logic helps write cleaner, more efficient code.

🗄️

Database Queries — SQL uses boolean logic in WHERE clauses to filter data. Complex queries combine AND, OR, and NOT to find exactly the records you need.

🔢

Mathematics — Boolean algebra is a fundamental branch of discrete mathematics, providing the theoretical foundation for computer science.

Frequently Asked Questions

What is boolean logic used for?▾

Boolean logic is the foundation of digital electronics and computer science. It uses true/false values and logical operators (AND, OR, NOT) to make decisions in circuits, programming, and database queries.

What is a truth table?▾

A truth table lists all possible input combinations for a boolean expression and shows the corresponding output. It is essential for designing and verifying digital logic circuits.

What operations are supported?▾

The calculator supports AND, OR, NOT, NAND, NOR, XOR, and XNOR operations. Each follows standard boolean algebra definitions.

Can I use more than 2 inputs?▾

Yes, you can use 2, 3, or 4 input variables. The truth table automatically adjusts to show all possible input combinations.

Is this tool free?▾

Yes, the Boolean Calculator is completely free to use with no subscriptions, hidden fees, or limits.

Is my data private?▾

Absolutely. All calculations happen locally in your browser. Your inputs never leave your device and nothing is stored on our servers.

What is the difference between AND and NAND?▾

NAND is the negation of AND. While AND outputs true only when all inputs are true, NAND outputs false only when all inputs are true. NAND is a universal gate.

Can I use this on mobile?▾

Yes, the calculator is fully responsive and works on all devices including phones, tablets, and desktops.

🔒 Privacy Note: This tool processes all data locally in your browser. No information is ever uploaded to our servers, ensuring your data remains 100% private.

🔗

Related Tools

Browse All Tools — Free, private browser-based tools for everyone.