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JEE Main 2026 (22 Jan, Shift 1) · Logic Gates

Logic Gates question from JEE Main 2026 (22 Jan, Shift 1)

Q22JEE Main 2026 · 22 JAN · SHIFT 1Medium

Logic Gates

Find the correct combination of A,B,C\mathrm{A}, \mathrm{B}, \mathrm{C} and D inputs which can cause the LED to glow.

Figure

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Answer: (d)

  1. A NOR gate with joined inputs is a NOT gate: outputs Aˉ\bar{A} and Bˉ\bar{B}.
  2. NAND of these: AˉBˉ‾=A+B\overline{\bar{A}\bar{B}} = A + B (this is the LED anode side).
  3. Lower NOR gives C+D‾\overline{C + D} (the LED cathode side).
  4. LED glows when anode =1= 1 and cathode =0= 0: A+B=1A + B = 1 and C+D=1C + D = 1.
  5. Only 11011101 has at least one of A, B and at least one of C, D equal to 1. So the answer is (d) 1101.
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