Physics - Semiconductors Question with Solution | TestHub
To get the truth table shown, from the following logic circuit, the Gate should be
\begin{array}{|c|c|c|}
\hline \mathrm{A} & \mathrm{B} & \mathrm{Y} \\
\hline 0 & 0 & 0 \\
\hline 0 & 1 & 0 \\
\hline 1 & 0 & 1 \\
\hline 1 & 1 & 1 \\
\hline
\end{array}
Options:
Answer:
Solution:

Truth table for , with the possible values of is,
\begin{array}{|c|c|c|}
\hline \mathbf{A} & \mathbf{C} & \mathbf{Y} \\
\hline 0 & 0 & 0 \\
\hline 0 & 0 & 0 \\
\hline 1 & 0,1 & 1 \\
\hline 1 & 0,1 & 1 \\
\hline
\end{array}
For gate
\begin{array}{|c|c|c|c|}
\hline & A & B & C \\
\hline (I) & 0 & 0 & 0 \\
\hline (II) & 0 & 1 & 0 \\
\hline (III) & 1 & 0 & 0,1 \\
\hline (IV) & 1 & 1 & 0,1 \\
\hline
\end{array}
is not a NOT gate as NOT gate takes only one input. (II) indicates is not a OR gate as OR gate would give high output for the inputs in (II). Also, (II) indicates it is not a XOR gate as XOR would also give high output for inputs in (II). Hence, the given truth table is satisfied only by AND gate.
