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

In the digital circuit the inputs are as shown in figure. The Boolean expression for output $\mathrm{Y}$ is
  1. $\overline{\mathrm{A}+\mathrm{B}}+\overline{\mathrm{C}}$
  2. $\overline{\mathrm{A} \cdot \mathrm{B}} \cdot \overline{\mathrm{C}}$
  3. $\overline{\mathrm{A} \cdot \mathrm{B}}+\overline{\mathrm{C}}$
  4. $\overline{\mathrm{A}+\mathrm{B}} \cdot \overline{\mathrm{C}}$

Solution

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

Asked in: MHT CET 2023 (11 May Shift 2)

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