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Question: Answered & Verified by Expert
In the digital circuit the inputs are as shown in figure. The Boolean expression for output $\mathrm{Y}$ is

PhysicsSemiconductorsMHT CETMHT CET 2023 (11 May Shift 2)
Options:
  • A $\overline{\mathrm{A}+\mathrm{B}}+\overline{\mathrm{C}}$
  • B $\overline{\mathrm{A} \cdot \mathrm{B}} \cdot \overline{\mathrm{C}}$
  • C $\overline{\mathrm{A} \cdot \mathrm{B}}+\overline{\mathrm{C}}$
  • D $\overline{\mathrm{A}+\mathrm{B}} \cdot \overline{\mathrm{C}}$
Solution:
2993 Upvotes Verified Answer
The correct answer is: $\overline{\mathrm{A} \cdot \mathrm{B}}+\overline{\mathrm{C}}$
In the given circuit, there is AND, NOR and a NOT gate.
Output of AND gate: $\overline{\mathrm{A} \cdot \mathrm{B}}$
Output of NOT gate: $\overline{\mathrm{C}}$
$\therefore \quad$ The boolean expression will be:
$\overline{\mathrm{A} \cdot \mathrm{B}}+\overline{\mathrm{C}}$

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