• Identity Property ((A βŠ•\oplus 0 = A)): XORing any value with zero leaves the value completely unchanged.

  • Self-Inverse Property ((A βŠ•\oplus A = 0)): XORing any value with itself always results in zero.

  • Commutative Property ((A βŠ•\oplus B = B βŠ•\oplus A)): The order of the operands does not change the outcome.

  • Associative Property (((A βŠ•\oplus B) βŠ•\oplus C = A βŠ•\oplus (B βŠ•\oplus C))): Grouping order does not matter when chaining multiple XOR operations

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