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JEE Main 2009 (AIEEE) · Logic Gates

Logic Gates question from JEE Main 2009 (AIEEE)

Q175JEE Main 2009 · AIEEEMedium

Logic Gates

The logic circuit shown below has the input waveforms ’A’\text{'}A\text{'} and ’B’\text{'}B\text{'} as shown. Pick out the correct output waveform.

Figure

Figure

Output is

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Answer: (d)

  1. The NOT gates give Aˉ\bar{A} and Bˉ\bar{B}, and the NOR gives Y=Aˉ+Bˉ‾=A⋅BY = \overline{\bar{A} + \bar{B}} = A \cdot B (AND).
  2. So Y=1Y = 1 only in the intervals where both AA and BB are high.
  3. That happens in the first interval and in the interval where the second A pulse overlaps a B pulse; elsewhere Y=0Y = 0.
  4. So the answer is (d).
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