Question 93

Computer Awareness Boolean algebra Easy

Which of the following is equivalent to the Boolean expression: \((X+Y).(X+\overline{Y}).(\overline{X}+Y)\)

(A) \(XY\)
(B) \(X\overline{Y}\)
(C) \(\overline{X}Y\)
(D) \(\overline{X}\, \overline{Y}\)
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

\((X + Y)(X + \bar{Y}) = X + Y\bar{Y} = X\)

\(X(\bar{X} + Y) = X\bar{X} + XY = XY\)

Answer: (A) XY

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