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JEE Main 2022 (28 Jun, Shift 1) · Logic Gates

Logic Gates question from JEE Main 2022 (28 Jun, Shift 1)

Q111JEE Main 2022 · 28 JUN · SHIFT 1Medium

Logic Gates

In the following circuit, the correct relation between output (Y) and inputs A and B will be:

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Answer: (c)

Diode cathodes face A and B; X is pulled up by the 10 V supply through R.
X is high only when both A and B are high (diode AND): $X = AB$ .
The npn transistor in CE mode inverts: X high saturates it and Y falls to 0.
$Y = \overline{AB}$ . So the answer is (c).

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