Question

In a certain 2-inputs logic gate, when $A=0, B=0$, output $C=1$. When $A=0, B=1$, output $C=1$. The gate must be

• A. OR
• B. AND
• C. NAND
• D. NOR

Hint:

NAND and NOR are the only basic gates that give 1 for $(0,0)$ input.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
We evaluate standard gate truth tables against the given conditions.

Step 2: Detailed Explanation:
Conditions: (0,0) \( \rightarrow \) 1 and (0,1) \( \rightarrow \) 1.
- OR: (0,0) \( \rightarrow \) 0. Incorrect.
- AND: (0,0) \( \rightarrow \) 0. Incorrect.
- NOR: (0,0) \( \rightarrow \) 1, but (0,1) \( \rightarrow \) 0. Incorrect.
- NAND: (0,0) \( \rightarrow \) 1, (0,1) \( \rightarrow \) 1, (1,0) \( \rightarrow \) 1, (1,1) \( \rightarrow \) 0. Correct.

Step 3: Final Answer:
The gate is a NAND gate.