Q 12-14-003NEETNEET 2025Top questionMedium
The output (Y) of the given logic implementation is similar to the output of an/a _______ gate.
Answer: (D) NOR
The upper gate is a NOR gate: its output is $\overline{A + B}$.
The lower gate is a NAND gate: its output is $\overline{A \cdot B}$.
The final AND gate gives
$$Y = \overline{A + B}\cdot\overline{A \cdot B} = (\bar{A}\bar{B})(\bar{A} + \bar{B}) = \bar{A}\bar{B}$$
since $\bar{A}\bar{B}\bar{A} = \bar{A}\bar{B}$ and $\bar{A}\bar{B}\bar{B} = \bar{A}\bar{B}$.
$Y = \bar{A}\bar{B} = \overline{A + B}$, which is the NOR function.
Solution by Sreeraj P, M.Sc Physics