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    Which of the following is equivalent to the Boolean function X'(X'+Y)?
    Question

    Which of the following is equivalent to the Boolean function X'(X'+Y)?

    A.

    X

    B.

    Y’

    C.

    Y

    D.

    X’

    Correct option is D

    Step 1: Apply Boolean Laws The given function is:
    X' (X'+Y)
    Using the Distributive Law, expand the expression:
    X'⋅X'+X'⋅Y
    Step 2: Simplify Terms
    1 X'⋅X'=X' (Idempotent Law).
    2 The expression becomes:
    X'+X'⋅Y
    Step 3: Apply Absorption Law Using the Absorption Law (A+A⋅B=A)
    X'+X'⋅Y=X'

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