boolean logic

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boolean logic

A student solves a problem using boolean logic on a whiteboard.

Definition

Noun: A system of symbolic logic that uses algebraic rules to represent and manipulate logical statements, where all variables and results have only two possible values: true or false (often represented as 1 or 0). It is the foundational mathematical framework for digital circuit design and computer operations.

Usage

"Boolean logic" is an uncountable noun. It refers to the formal system itself. * Computer processors perform calculations based on boolean logic. * Understanding boolean logic is essential for programming. * The search engine uses boolean logic to filter results (e.g., using AND, OR, NOT).

Advanced Usage
  • "To implement boolean logic": To physically realize logical operations in hardware (e.g., using transistors to create logic gates).
    • The chip design implements boolean logic through a network of NAND gates.
  • In a broader, metaphorical sense, it can describe any rigid, binary decision-making process.
    • The policy was criticized for its simplistic, almost boolean logic, with no room for nuance.
Variants and Related Words
  • Boolean (adjective): Of or relating to Boolean logic or its two-valued system.
    • A boolean variable can only be true or false.
    • The boolean operator AND returns true only if both inputs are true.
  • Boolean algebra (noun): Often used synonymously with "Boolean logic," emphasizing its algebraic structure and rules.
  • Logic gate (noun): A physical device that implements a basic Boolean function (e.g., AND, OR, NOT).
Synonyms
  • Symbolic logic (in the specific context devised by Boole)
  • Propositional calculus (a closely related formal system)
  • Binary logic
Related Phrases
  • Boolean expression: A combination of variables and operators (AND, OR, NOT) that evaluates to true or false.
    • The program's behavior is controlled by a complex boolean expression.
  • Boolean search: A search method that uses Boolean operators to combine keywords.
    • Use a boolean search with "climate" AND "change" to narrow the results.
boolean logic

A student solves a problem using boolean logic on a whiteboard.

Noun
  1. a system of symbolic logic devised by George Boole; used in computers

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