XOR gate

A logic gate that outputs 1 when its inputs differ and 0 when they are the same. For two binary inputs, it computes addition modulo 2.

Exclusive OR: A logical operation that is true when an odd number of its inputs are true. The gate physically implements this Boolean operation.
Binary numeral system: A positional number system that represents values using the digits 0 and 1. The gate’s inputs and outputs are binary values.
Half adder: A combinational circuit that adds two binary digits and produces a sum and carry. Its sum output is the XOR of the two input bits.
NAND gate: A logic gate that outputs 0 only when all its inputs are 1. Unlike XOR, NAND depends on whether all inputs are 1, not whether they differ.
Truth table: A table listing a function’s output for every possible combination of inputs. It gives the XOR gate’s complete behavior for binary inputs.
AND gate: A logic gate that outputs 1 only when all its inputs are 1. AND combines with OR and NOT to construct XOR.
Parity bit: A bit added to data so the total number of 1 bits has a specified parity. XOR combines data bits to calculate even or odd parity.
NOR gate: A logic gate that outputs 1 only when all its inputs are 0. NOR tests for all-zero inputs rather than differing inputs.
Boolean algebra: An algebraic system for manipulating variables with true-or-false values and logical operations. Its identities describe how XOR combines with other logic operations.
OR gate: A logic gate that outputs 1 when at least one input is 1. OR contributes to a standard construction of XOR.

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