If A ⊕ B = C, then which of the following are invalid:

2007

If A ⊕ B = C, then which of the following are invalid:

  1. A.

    A ⊕ C = B

  2. B.

    B ⊕ C = A

  3. C.

    A ⊕ B ⊕ C = 1

  4. D.

    A ⊕ B ⊕ C = 0

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Correct answer: C

The XOR (Exclusive OR) operation follows specific algebraic properties that allow us to manipulate the equation A xor B = C.

1. Self-Inverse Property: Any value XORed with itself results in zero (X xor X = 0).

2. Identity Property: Any value XORed with zero remains unchanged (X xor 0 = X).

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