A logic circuit provides the output $Y$ as per the following truth table : $\begin{array}{|l|l|l|}\hline A &…

A logic circuit provides the output $Y$ as per the following truth table : $\begin{array}{|l|l|l|}\hline A & B & Y \\ \hline 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \\ \hline\end{array}$ The expression for the output $Y$ is :
  1. $A \cdot \bar{B}+\bar{A}$
  2. $\bar{B}$
  3. $B$
  4. $A \cdot B+\bar{A}$

Solution

$\begin{array}{|l|l|l|}\hline A & B & Y \\\hline 0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 1 \\1 & 1 & 0 \\\hline \end{array}$ According to given truth table, output is independent on value of $A$ $\therefore$ Output $Y=\bar{B}$

Asked in: NEET 2024

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