Boolean Algebra Calculator

Boolean algebra is the mathematics of logic, where variables take only two values: 0 (false) and 1 (true). The fundamental operations are AND (&), OR (|), NOT (!), XOR (^). This calculator takes up to three Boolean inputs (A, B, C) and computes all common operations — AND, OR, NOT, NAND, NOR, XOR, XNOR — displaying results in a truth-table format. It's an essential tool for digital logic design, circuit simplification, and programming conditional logic.

Every digital circuit — from a simple light switch to a microprocessor — is built from Boolean algebra. The laws (commutative, associative, distributive, De Morgan's) let you simplify complex expressions before implementing them in hardware or code.

1. Set inputs: Enter 1 or 0 (or true/false) for A, B, and C.
2. Read results: All operations are computed simultaneously — AND, OR, NOT, NAND, NOR, XOR, XNOR for each variable.
3. Experiment: Change inputs to see how each operation responds — this builds intuition for logic gates and truth tables.

Boolean algebra is the foundation of digital electronics. Every logic gate (AND, OR, NOT, NAND, NOR, XOR) in an integrated circuit implements a Boolean operation. In computer programming, conditional statements and bitwise operations directly use Boolean algebra. In database queries, SQL WHERE clauses combine conditions with AND, OR, NOT. In search engines, Boolean operators refine search results.