Question

Which of the following logic gates will have an output of '1' (one) for the given inputs?

• A. D
• B. B
• C. A
• D. C

Hint:

Evaluate each gate with its inputs.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
From the figure: (A) is a NAND gate with inputs \(1, 1\); (B) is a NAND gate with inputs \(1, 0\); (C) is a NOR gate with inputs \(0, 1\); (D) is an XOR gate with inputs \(0, 0\).

Step 2: Key Formula or Approach:
NAND \(= \overline{A\cdot B}\), NOR \(= \overline{A + B}\), XOR \(= A \oplus B\).

Step 3: Detailed Explanation:
(A): \(\overline{1\cdot 1} = \overline1 = 0\).
(B): \(\overline{1\cdot 0} = \overline0 = 1\).
(C): \(\overline{0 + 1} = \overline1 = 0\).
(D): \(0 \oplus 0 = 0\).
Only gate (B) gives \(1\). In the answer list, option B is gate (B).

Final Answer:
Gate (B) gives output \(1\), option (B). \[ \boxed{\text{Gate (B)}} \]