JEE Mains · Physics · STD 12 - Semicondutor electronics
- JEE Mains 2025
- Medium
- MCQ
Consider the following logic circuit.
The output is \(\mathrm{Y}=0\) when :
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(\mathrm{A}=1\) and \(\mathrm{B}=1\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned}
& \mathrm{Y}_1=\mathrm{A} \cdot \mathrm{~B}, \mathrm{Y}_2=\overline{\mathrm{A}}+\mathrm{B} \\
& \mathrm{Y}=\overline{\mathrm{Y}_1 \cdot \mathrm{Y}_2}=\overline{\mathrm{Y}}_1+\overline{\mathrm{Y}}_2 \\
& \mathrm{Y}=\overline{\mathrm{A} \cdot \mathrm{~B}}+\overline{\mathrm{A}+\mathrm{B}} \\
& \mathrm{Y}=\overline{\mathrm{A}}+\overline{\mathrm{B}}+\mathrm{A} \cdot \overline{\mathrm{~B}}
\end{aligned}\)
\(\begin{array}{|c|c|c|} \hline A & B & Y \\ \hline 0 & 0 & 1 \\ \hline 1 & 0 & 1 \\ \hline 0 & 1 & 1 \\ \hline 1 & 1 & 0 \\ \hline \end{array}\)
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