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JEE Mains · Physics · STD 12 - 14. Semicondutor electronics

The truth table for this given circuit is _______.

  1. A
    \(A\)\(B\)\(Y\)
    \(0\)\(0\)\(1\)
    \(0\)\(1\)\(1\)
    \(1\)\(0\)\(1\)
    \(1\)\(1\)\(0\)
  2. B
    \(A\)\(B\)\(Y\)
    \(0\)\(0\)\(0\)
    \(0\)\(1\)\(1\)
    \(1\)\(0\)\(0\)
    \(1\)\(1\)\(1\)
  3. C
    \(A\)\(B\)\(Y\)
    \(0\)\(0\)\(0\)
    \(0\)\(1\)\(0\)
    \(1\)\(0\)\(0\)
    \(1\)\(1\)\(1\)
  4. D
    \(A\)\(B\)\(Y\)
    \(0\)\(0\)\(1\)
    \(0\)\(1\)\(0\)
    \(1\)\(0\)\(1\)
    \(1\)\(1\)\(0\)
Verified Solution

Answer & Solution

Correct Answer

(B)

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

Step-by-step Solution

Detailed explanation

\(\mathrm{Y} =\mathrm{A} \cdot \mathrm{B}+\overline{\mathrm{A}} \cdot \mathrm{B} \) \( =(\mathrm{A}+\overline{\mathrm{A}}) \cdot \mathrm{B} \) \(\mathrm{Y} =1 \cdot \mathrm{B} \) \(\mathrm{Y} =\mathrm{B}\)
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