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JEE Main 2026 · 2 Apr · Shift 2, Physics question 30

If XX and YY are the inputs, the given circuit works as ________.

Logic circuit: X feeds both inputs of a NAND gate and Y feeds both inputs of another NAND gate; their outputs go to a third NAND gate, whose output feeds both inputs of a fourth NAND gate giving the Output.
Choose one option
Answer and worked solution

Official answer: D

Gate by gate (all four gates are NAND):

  • A NAND with both inputs tied is a NOT gate, so the first two give Xˉ\bar X and Yˉ\bar Y.
  • Third NAND: Xˉ⋅Yˉ‾=X+Y\overline{\bar X\cdot\bar Y}=X+Y.
  • Last NAND (inputs tied): X+Y‾\overline{X+Y}.

The circuit is a NOR gate.

(D)