Which one of the following expression... - Solved

Question 92

Computer Awareness Boolean algebra Easy

Which one of the following expression does NOT represent exclusive NOR of x and y?

(A) \( x y + x' y' \)

(B) \( x \oplus y' \)

(C) \( x' \oplus y \)

(D) \( x' \oplus y' \)

✓ Correct Answer: Option D Verified Solution

XNOR(x, y) = \(xy + x'y'\) = \(\overline{x \oplus y}\).

(A) \(xy + x'y'\) is XNOR.
(B) \(x \oplus y' = \overline{x \oplus y}\) is XNOR (complementing one input complements the XOR).
(C) \(x' \oplus y = \overline{x \oplus y}\) is XNOR.
(D) \(x' \oplus y' = x \oplus y\) is XOR, not XNOR (complementing both inputs leaves XOR unchanged).

Answer: (D)

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