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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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