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Boolean Algebra Simplifier

Simplify boolean algebra expressions and generate truth tables.

Syntax: AND, OR, NOT, XOR, NAND, NOR, parentheses

About this tool

Boolean algebra is the mathematical foundation of digital logic, computer hardware, and circuit design. The Boolean Algebra Simplifier helps you reduce complex expressions into their simplest form, making it easier to understand logic gates, optimize code conditions, and design efficient circuits. Whether you're a student learning digital logic, an engineer designing hardware, or a programmer working with conditional statements, this tool automates the tedious algebraic manipulations so you can focus on the logic itself.

To use the simplifier, enter your boolean expression using variables (A, B, C, etc.), operators (AND, OR, NOT), and parentheses for grouping. The tool applies De Morgan's laws, distribution rules, and other boolean identities to reduce your expression. You can also generate a truth table to verify your results, showing the output for every possible combination of input values. This is invaluable for debugging logic, confirming simplifications, and understanding how variables interact.

Frequently Asked Questions

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