If $X$ and $Y$ are the inputs, the given circuit works as ____.

JEE Main · 2026 · 02 Apr 2026 · Shift 2 · Semiconductors

X

and

Y

are the inputs, the given circuit works as ____.

Answer: (D)

Each input first passes through a NAND gate whose two terminals are tied together, which behaves as an inverter, giving

\overline{X}

and

\overline{Y}

. These feed a second NAND gate, whose output is

\overline{\overline{X} \cdot \overline{Y}} = X + Y

by De Morgan's law. This signal is applied to both inputs of the final NAND gate, which again acts as an inverter and produces

\overline{X + Y}

. An output of

\overline{X + Y}

is the logic of a NOR gate.

JEE Main · 2026 · 02 Apr 2026 · Shift 2 · Single correct option