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    Which of the following is equivalent to the Boolean function X+XY?
    Question

    Which of the following is equivalent to the Boolean function X+XY?

    A.

    0

    B.

    Y

    C.

    X

    D.

    1

    Correct option is C

    To simplify the Boolean function X+XY:1.Apply the Distributive Law:X+XY=X(1+Y)2.Since 1+Y=1:X(1)=XSo, the equivalent expression is X.\text{To simplify the Boolean function } X + XY: \\\begin{array}{ll}1. & \text{Apply the Distributive Law:} \\ & X + XY = X(1 + Y) \\2. & \text{Since } 1 + Y = 1: \\ & X(1) = X\end{array} \\\text{So, the equivalent expression is } \mathbf{X}.​​

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