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JEE Main 20257 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
7 April
Shift
Evening Shift
Subject
Physics
Chapter
Semiconductors

JEE Main 2025 · 7 April · Evening Shift · Physics · Semiconductors

Consider the following logic circuit. The output is Y=0 when :

Consider the following logic circuit.
Consider the following logic circuit. The output is Y=0 when :
The output is Y=0\mathrm{Y}=0 when :

Options

  1. AA=1\mathrm{A}=1 and B=1\mathrm{B}=1
  2. BA=0\mathrm{A}=0 and B=1\mathrm{B}=1
  3. CA=1\mathrm{A}=1 and B=0\mathrm{B}=0
  4. DA=0\mathrm{A}=0 and B=0\mathrm{B}=0

Correct answer

A. A=1\mathrm{A}=1 and B=1\mathrm{B}=1

Step-by-step solution

\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}ABY001101011110\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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