The truth table represents the Boolean function

2012

The truth table

image.png

represents the Boolean function

  1. A.

    X

  2. B.

    X + Y 

  3. C.

    \(\oplus\) Y

  4. D.

    Y

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Show answer & explanation

Correct answer: A

Key insight: the function's output depends only on X. When X = 0 the output is 0, and when X = 1 the output is 1, regardless of Y.

  • If X = 0: rows (0,0) and (0,1) both produce 0.

  • If X = 1: rows (1,0) and (1,1) both produce 1.

  • Therefore the Boolean function simplifies to f(X, Y) = X.

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