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In the digital circuit the inputs are as shown in figure. The Boolean expression for output $\mathrm{Y}$ is

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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:
$\overline{\mathrm{A} \cdot \mathrm{B}}+\overline{\mathrm{C}}$
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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