Definition

Noun: An operation performed on two operands where both the operands and the result are restricted to one of two possible values, typically 0 and 1 or TRUE and FALSE, following the rules of Boolean algebra.

Usage

This term is used in the fields of computer science, mathematics, and digital logic to describe fundamental logical or arithmetic operations on binary variables.

Examples

• In a sentence:

  • The processor executes a binary arithmetic operation like AND or OR for each clock cycle.
  • Understanding binary arithmetic operations is essential for designing digital circuits.

• In technical context:

  • Addition in binary number system is a common binary arithmetic operation.
  • The ALU (Arithmetic Logic Unit) is designed to perform various binary arithmetic operations.

Advanced Usage

• In Boolean Algebra: In formal logic, a binary arithmetic operation refers specifically to an operation (like conjunction, disjunction) on two Boolean operands that yields a single Boolean result.
  • The truth table defines the output for every possible input of a binary arithmetic operation.

Variants and Related Words

• Binary Operation (n): A more general mathematical term for any operation with two inputs, not limited to Boolean algebra (e.g., addition on real numbers).
• Boolean Operation (n): Often used synonymously with "binary arithmetic operation" in computer science, emphasizing the logical (TRUE/FALSE) nature.
• Logical Operation (n): Another common synonym, especially when referring to operations like AND, OR, NOT (though NOT is unary).

Synonyms

• Boolean operation
• Logical operation
• Binary Boolean operation

Related Phrases

• Binary Operator (n): The symbol (e.g., +, ∧, ∨) that denotes the specific binary arithmetic operation to be performed.
  • The '&' symbol is the binary operator for the AND binary arithmetic operation in many programming languages.

Noun

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