Find the truth table for the function $Y$ of $A$ and $B$ represented in the following figure.

Find the truth table for the function $Y$ of $A$ and $B$ represented in the following figure.

  1. $\begin{aligned} &\begin{array}{|c|c|c|} \hline A & B & Y \\ \hline 0 & 0 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 0 \\ 1 & 1 & 0 \\ \hline \end{array} \end{aligned}$
  2. $\begin{array}{|c|c|c|} \hline A & B & Y \\ \hline 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & 1 \\ \hline \end{array}$
  3. $\begin{array}{|c|c|c|} \hline A & B & Y \\ \hline 0 & 0 & 0 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \\ 1 & 1 & 1 \\ \hline \end{array}$
  4. $\begin{array}{|c|c|c|}A & B & Y \\\hline0 & 0 & 0 \\0 & 1 & 1 \\1 & 0 & 1 \\1 & 1 & 1 \\\hline\end{array}$

Solution

$Y = A \cdot B + B^{\overline{}}$ $\begin{aligned} \begin{array}{ccc} A & B & Y \\ 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & 1 \\ \end{array} \end{aligned}$

Asked in: JEE Main 2021 (27 Jul Shift 2)

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