What is boolean algebra?

Boolean algebra is a mathematical system used to analyze and simplify logic circuits and digital systems. It deals with variables that can have only two values: true (1) and false (0), and operations like AND, OR, and NOT.

How do Karnaugh maps work?

Karnaugh maps (K-maps) are graphical tools used to simplify boolean expressions. They arrange truth table values in a grid format, making it easier to identify and eliminate redundant terms through grouping adjacent cells.

What are the applications of boolean algebra?

Boolean algebra is fundamental to digital circuit design, computer programming, database queries, search algorithms, and any system that involves decision-making with binary choices.

How do I simplify a boolean expression?

Use boolean algebra laws like commutativity, associativity, distributivity, and theorems like De Morgan's laws. Alternatively, use Karnaugh maps for visual simplification or truth tables to verify equivalence.

What are logic gates?

Logic gates are digital circuits that perform basic boolean operations: AND (multiplication), OR (addition), NOT (complement), NAND, NOR, XOR, and XNOR. They form the building blocks of all digital systems.

Boolean Algebra Simplifier

Boolean Algebra Input

Supported notation formats:

Standard:

A+B (OR), A*B (AND), !A (NOT)

LaTeX:

A\lor B, A\land B, \lnot A

Auto-detecting format

Complexity:

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Truth Table

Shows outputs for all input combinations.

Enter an expression and click Simplify to generate a Truth Table.

Step-by-Step Simplification

Detailed resolution process. Note: Always verify results for critical applications.

Enter a boolean expression and click Simplify

Science Labs

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