Definition

1. Noun:
   • A logical operation: A boolean operation is a fundamental operation in Boolean algebra and computer logic. It processes one or more input values, each of which must be either true or false (or, equivalently, 1 or 0, on or off), and produces a single output value that is also either true or false.

Usage

• A is a rule-based procedure applied to binary inputs.
• The term is used primarily in mathematics, computer science, digital circuit design, and programming.
• It describes the action of logical operators like AND, OR, NOT, XOR, NAND, and NOR.

Examples

• Noun:
  • The boolean operation AND returns true only if both of its inputs are true.
  • Designing a digital circuit requires a clear understanding of basic boolean operations.
  • In programming, a conditional statement often relies on the result of a boolean operation.

Advanced Usage

• "To perform a boolean operation": To execute a logical rule on binary data.
  • The processor's arithmetic logic unit can perform millions of boolean operations per second.

Variants and Related Words

• Boolean algebra (n): A branch of algebra where variables represent truth values (true/false) and operations are logical.
• Boolean logic (n): The system of logical operations on binary variables.
• Operand (n): An input value upon which a is performed.
• Logic gate (n): A physical electronic device that implements a basic .

Synonyms

• Logical operation: An operation dealing with true/false values.
• Binary operation: An operation on two-state (binary) variables. (Note: In strict mathematical terms, a "binary operation" can have a broader meaning, but in computer contexts, it is often synonymous with ).

Related Phrases

• Truth table: A table showing all possible input combinations and the corresponding output of a .
  • You can define a boolean operation by writing out its complete truth table.

Noun

1. an operation that follows the rules of Boolean algebra; each operand and the result take one of two values