Question 57

Computer Awareness Boolean algebra Hard

Given the following truth table:

\[ \begin{array}{ll|l} A & B & X \\ \hline 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \\ 1 & 1 & 0 \\ \end{array} \]
Which ofthe following Boolean functions does it represent?

(A) OR
(B) XOR
(C) NOR
(D) XNOR
✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

The output X is 1 only when both A and B are 0. In every other case it is 0.

That is the complement of OR: \(X = \overline{A + B}\), which is the NOR function.

Answer: (C) NOR

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