Question: Prove A XOR ( B XOR C) = ( A XOR B ) XOR C Using set identities TABLE 1 Set Identities Identity Name An

Prove

A XOR ( B XOR C) = ( A XOR B ) XOR C

Using set identities

TABLE 1 Set Identities Identity Name An U Identity laws A UU A UU Domination laws A n AUA A Idempotent laws An A A (A) A Complementation law AUB U A Commutative laws An B B n A AU (BUC) (AUB) UC Associative laws An (Bn C) (An B) C AU (B n C) (A U B) n (AUC) Distributive laws An (BUC) (An B) u (An C) An B AUB De Morgan's laws AU B An B AU (An B) A Absorption laws An (AUB) A AUA U Complement laws An A

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