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Question: Answered & Verified by Expert
Truth table for the given circuit will be

PhysicsSemiconductorsJEE MainJEE Main 2018 (15 Apr Shift 2 Online)
Options:
  • A
    $$
    \begin{array}{cc|c}
    \mathrm{x} & \mathrm{y} & \mathrm{z} \\
    \hline 0 & 0 & 1 \\
    0 & 1 & 1 \\
    1 & 0 & 1 \\
    1 & 1 & 0
    \end{array}
    $$
  • B
    $$
    \begin{array}{cc|c}
    \mathrm{x} & \mathrm{y} & \mathrm{z} \\
    \hline 0 & 0 & 0 \\
    0 & 1 & 0 \\
    1 & 0 & 0 \\
    1 & 1 & 1
    \end{array}
    $$
  • C
    $$
    \begin{array}{cc|c}
    x & y & z \\
    \hline 0 & 0 & 1 \\
    0 & 1 & 1 \\
    1 & 0 & 1 \\
    1 & 1 & 1
    \end{array}
    $$
  • D
    $$
    \begin{array}{cc|c}
    \mathrm{x} & \mathrm{y} & \mathrm{z} \\
    \hline 0 & 0 & 0 \\
    0 & 1 & 1 \\
    1 & 0 & 1 \\
    1 & 1 & 1
    \end{array}
    $$
Solution:
1645 Upvotes Verified Answer
The correct answer is:
$$
\begin{array}{cc|c}
x & y & z \\
\hline 0 & 0 & 1 \\
0 & 1 & 1 \\
1 & 0 & 1 \\
1 & 1 & 1
\end{array}
$$
Truth table of the circuit is as follows
$$
\begin{array}{|c|c|c|c|c|c|}
\hline x & y & \bar{x} & a=x \cdot y & b=\bar{x} \cdot y & z=\overline{a \cdot b} \\
\hline 0 & 0 & 1 & 0 & 0 & 1 \\
\hline 0 & 1 & 1 & 0 & 1 & 1 \\
\hline 1 & 0 & 0 & 0 & 0 & 1 \\
\hline 1 & 1 & 0 & 1 & 0 & 1 \\
\hline
\end{array}
$$

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