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1a. Prove that the bitwise XOR operation is an involution: A ⊕ A = 0. 1b....

1a. Prove that the bitwise XOR operation is an involution: A ⊕ A = 0.

1b. Prove the associativity of the bitwise XOR operation: (A ⊕ B) ⊕ C = A ⊕ (B ⊕ C).

1c. Prove the commutativity of the bitwise XOR operation: A ⊕ B = B ⊕ A.

Show formal proof with expression. Don't just plug in bits to prove this properties are true

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