THIS BLEW MY MIND

XOR (exclusive or) operations have unique properties that make them useful for solving programming problems elegantly. XOR has memory-like behavior where A XOR A equals zero and A XOR 0 equals A. These properties enable clever solutions to common interview questions like finding missing numbers in arrays, swapping variables without temporary storage, and detecting duplicates. The technique works by leveraging XOR's commutative property and the fact that duplicate values cancel each other out when XORed together. Advanced applications include finding two missing numbers by partitioning based on bit differences and implementing forward error correction in network protocols.