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Identity Property ((A 0 = A)): XORing any value with zero leaves the value completely unchanged.
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Self-Inverse Property ((A A = 0)): XORing any value with itself always results in zero.
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Commutative Property ((A B = B A)): The order of the operands does not change the outcome.
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Associative Property (((A B) C = A (B C))): Grouping order does not matter when chaining multiple XOR operations