The output (Y) of the given logic implementation is similar to the output of a/an gate.

Question

The output (Y) of the given logic implementation is similar to the output of a/an gate.

1. A. AND
2. B. NAND
3. C. OR
4. D. NOR (Correct answer)

Correct Answer

Option D — NOR

Detailed Solution & Explanation

The correct answer is NOR.

Key Points

• Top gate: $Y_1=\overline{A+B}=\bar A\,\bar B$ (NOR of A and B).
• Bottom gate: $Y_2=\overline{A+A}=\bar A$ (NOR of A with itself = NOT A).
• Final AND gate: $Y=Y_1\cdot Y_2=\bar A\,\bar B\cdot\bar A=\bar A\,\bar B=\overline{A+B}$.
• This is exactly the output of a NOR gate.