In the following digital logic circuit, the output Y will be ' 1 ' for inputs

In the following digital logic circuit, the output Y will be ' 1 ' for inputs
  1. $\mathrm{A}=0, \mathrm{~B}=0$
  2. $\mathrm{A}=0, \mathrm{~B}=1$
  3. $\mathrm{A}=1, \mathrm{~B}=0$
  4. $\mathrm{A}=1, \mathrm{~B}=1$

Solution

$\therefore \quad$ There are two NOR gates, one NOT gate, and one NAND gate. $\therefore \quad$ Output of NAND gate: $\overline{A \cdot B}$ Output of NOT and NOR Gate: $\overline{\overline{\mathrm{A}}+\mathrm{B}}$ Final output: $\overline{(\overline{\mathrm{A} \cdot \mathrm{B}})+(\overline{\overline{\mathrm{A}}+\mathrm{B}})}$ So, the output $\mathrm{Y}$ is 1 only if the input $\mathrm{A}$ and $\mathrm{B}$ is 1. $\begin{aligned} & \mathrm{A}=1 \\ & \mathrm{~B}=1 \\ & \mathrm{Y}=\overline{\overline{1 \cdot 1}+\overline{1}+1} \\ & \mathrm{Y}=1 \end{aligned}$

Asked in: MHT CET 2023 (12 May Shift 2)

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