boolean algebra

Thân thiện

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

Definition

Noun: A system of symbolic logic, devised by George Boole, that deals with operations on logical values (typically true and false) using operators like AND, OR, and NOT. It forms the mathematical foundation for the design and operation of digital circuits and computer programming.

Usage

Boolean algebra is used as a singular noun to refer to the specific algebraic system. - The course covers the fundamentals of boolean algebra. - Understanding boolean algebra is essential for computer science students. - The circuit's logic was verified using the rules of boolean algebra.

Advanced Usage

• "to apply boolean algebra": to use its principles to solve a logic problem.
  • You can apply boolean algebra to simplify this complex logical expression.
• "the laws of boolean algebra": the fundamental identities and theorems of the system, such as commutativity, associativity, and De Morgan's laws.
  • The design relies on the distributive law of boolean algebra.

Variants and Related Words

• Boolean (adjective): Pertaining to or using the system of boolean algebra or its binary values.
  • A boolean variable can only be true or false.
• Boolean logic (noun phrase): Often used synonymously with boolean algebra, especially in computing contexts.
  • Search engines use boolean logic to process queries.

Synonyms

• Symbolic logic (in this specific context)
• Boolean logic
• Logical algebra

Related Phrases

• Boolean expression: A combination of variables and operators that evaluates to a boolean value.
  • The program evaluates the boolean expression to decide the next step.
• Boolean operation: An operation like AND, OR, or NOT performed on boolean values.
  • The processor executes millions of boolean operations per second.

Học thuật

Noun

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

Từ đồng nghĩa

• Boolean logic
• Boolean algebra