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JEE Main 2021 (16 Mar, Shift 1) · Logic Gates

Logic Gates question from JEE Main 2021 (16 Mar, Shift 1)

Q126JEE Main 2021 · 16 MAR · SHIFT 1Medium

Logic Gates

In the logic circuit shown in the figure, if input A and B are 0 and 1 respectively, the output at Y would be 'x'.

The value of x is ____________.

Figure

Numerical answer type. Work it out, then open the answer.

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Answer: 0

  1. NOR gate gets AA and BB (B inverted twice): A+B‾\overline{A + B}.
  2. NAND gate gets Aˉ\bar{A} and Bˉ\bar{B}: AˉBˉ‾=A+B\overline{\bar{A}\bar{B}} = A + B.
  3. Y=A+B‾⋅(A+B)=0Y = \overline{A + B}\cdot(A + B) = 0 for all inputs.
  4. For A=0,B=1A = 0, B = 1: Y=0Y = 0. So x=0x = 0.
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