XOR gate

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Definition
  1. Noun:
    • A logic gate for exclusive OR: An "xor gate" is a fundamental digital logic gate. It implements the logical exclusive OR (XOR) operation. Its output is true (or high, or 1) only when its two inputs are different (one is true and the other is false). If both inputs are the same (both true or both false), the output is false (or low, or 0).
Usage Examples
  • Noun:
    • An xor gate is a crucial component in building arithmetic circuits like adders.
    • The security of some simple ciphers relies on the properties of the xor gate.
    • To compare two binary digits for inequality, you can use an xor gate.
Advanced Usage
  • In Circuit Design: The "xor gate" is often represented in schematic diagrams with a distinct symbol (a curved shape with a plus sign inside). It is a basic building block for more complex functions like parity checkers and half-adders.
  • In Programming/Boolean Logic: The concept of the "xor gate" is directly analogous to the exclusive OR (XOR) operator (often in languages like C, Java, or Python) used in bitwise and logical operations.
Variants and Related Words
  • XOR (Exclusive OR) (n): The logical operation itself that the gate performs.
    • XOR returns true if the operands are different.
  • Logic gate (n): The general category of digital circuits to which the xor gate belongs, including AND, OR, NOT, NAND, and NOR gates.
Synonyms
  • Exclusive OR gate: The full, formal name.
  • EOR gate: An occasional abbreviation (EOR for Exclusive OR).
Related Phrases/Concepts
  • Half-adder: A simple digital circuit that can be constructed using an xor gate and an AND gate to add two single binary digits.
  • Parity generator/checker: A circuit that uses xor gates to detect errors in data transmission by checking if the number of 1s is even or odd.
Noun
  1. gate for exclusive OR; a circuit in a computer that fires only if only one of its inputs fire

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