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  1. Which of the following terms are equivalent?

    1. A ⊕ B ⊕ C
    2. A ⊕ B ⊙ C
    3. A ⊙ B ⊕ C
    4. A ⊙ B ⊙ C

    2. A.
    1 and 4; 2 and 3
    B.
    1 and 3
    C.
    2 and 3
    D.
    1, 2 and 4

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    Answer : Option A

    Explanation :

    A ⊕ B ⊕ C = A (B ⊕ C) + A(B ⊕ C)

    = A(B ⊙ C) + A (B ⊙ C) = A ⊙ B ⊙ C

    A ⊕ B ⊙ C = A (B ⊙ C) + A(B ⊙ C)

    = A(B ⊕ C) + A(B ⊕ C)

    = A ⊙ B ⊙ C.

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