Boolean Algebra

Noun · Development

Definitions

  1. A branch of algebra dealing with variables that have two possible values: true/false (1/0). Operations include AND, OR, NOT, XOR, NAND, and NOR. The mathematical foundation of digital circuit design, conditional logic, and database query optimization. Every if-statement is boolean algebra in action.

    In plain English: The math of true/false logic that underlies everything from circuit design to if-statements in code.

    Example: "Simplify the query condition using boolean algebra — (A AND B) OR (A AND NOT B) reduces to just A."

Etymology

1847
George Boole published 'The Mathematical Analysis of Logic,' founding boolean algebra.
1937
Claude Shannon's MIT thesis showed that boolean algebra could optimize telephone switching circuits, birthing digital circuit design.

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