XOR Gate

Electronics Engineering

How It Works

An Exclusive-OR (XOR) gate is a fundamental digital logic building block that implements parity generation and binary modulo-2 addition. It outputs a logical TRUE (HIGH) state if and only if exactly one of its two input arguments is TRUE. When both inputs possess identical logic values (both 0 or both 1), the output resolves to logical LOW (0), making XOR gates indispensable in binary adders, parity checkers, and digital cryptography.

Governing Equation
Y = A ⊕ B = A · B̄ + Ā · B   |   Y = 1 ⇔ (A ≠ B)