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MHT CET 2026 (12 May, Shift 1) · Logic Gates

Logic Gates question from MHT CET 2026 (12 May, Shift 1)

Q25MHT CET 2026 · 12 MAY · SHIFT 1Medium

Logic Gates

The truth table for the system of four NAND gates as shown in the figure is

Figure

Figure

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Answer: (c)

  1. First NAND: C=AB‾C = \overline{AB}.
  2. Middle NANDs: AC‾\overline{AC} and BC‾\overline{BC}.
  3. Output: Y=AC‾⋅BC‾‾=AC+BC=(A+B)AB‾=ABˉ+AˉBY = \overline{\overline{AC}\cdot\overline{BC}} = AC + BC = (A+B)\overline{AB} = A\bar B + \bar A B, the XOR function.
  4. Truth table: 00→0, 01→1, 10→1, 11→000 \to 0,\ 01 \to 1,\ 10 \to 1,\ 11 \to 0.
  5. So the answer is (c).
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