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JEE Mains · Physics · STD 12 - Semicondutor electronics
  • JEE Mains 2021
  • Hard
  • MCQ

The truth table for the followng logic circuit is ...... .

Pick an option to check your answer.
Verified Solution

Answer & Solution

Correct Answer

(B)

\(A\) \(B\) \(Y\)
\(0\) \(0\) \(1\)
\(0\) \(1\) \(0\)
\(1\) \(0\) \(0\)
\(1\) \(1\) \(1\)

Step-by-step Solution

Detailed explanation

\(y=\overline{(A \bar{B}+\bar{A} B)}\)

\(y=\overline{A \bar{B}} \cdot \overline{\bar{A} B}\)

\(y=(\bar{A}+B) \cdot(A+\bar{B})\)

\(y=\bar{A} \cdot A+\bar{A} \bar{B}+A \cdot B+B \bar{B}\)

\(y=A B+\bar{A} \bar{B}\)

\(A\) \(B\) \(Y = AB +\overline{ A } \overline{ B }\)
\(0\) \(0\) \(1\)
\(0\) \(1\) \(0\)
\(1\) \(0\) \(0\)
\(1\) \(1\) \(1\)
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