Question: Prove ((A XOR C) = (B XOR C)) (A=B) Using set identities TABLE 1 Set Identities. Identity An U A UU A UU A n

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

Using set identities

TABLE 1 Set Identities. Identity An U A UU A UU A n 0 AUA A An A A (A) A AUB U A An B B n A AU (BUC) (AUB) UC An (B n C) (A n B) n C AU (B n C) (AUB) n (AUC) An (BUC) (An B) u (An C) An B AUB A U B An B AU (An B) A An (AUB) A AUA U An A Name Identity laws Domination laws Idempotent laws Complementation law Commutative laws Associative laws Distributive laws De Morgan's laws Absorption laws Complement laws

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