KCET · Physics · Semiconductors
Identify the logic operation carried out by the following circuit.
- A AND
- B NAND
- C NOR
- D OR
Answer & Solution
Correct Answer
(D) OR
Step-by-step Solution
Detailed explanation
Using Boolean law \( A \times A=A \), we get
\( \overline{A \cdot A}=\bar{A} \) and \( \overline{B \cdot B}=\bar{B} \)
By de Morgan's law, we have
\(
\begin{array}{l}
\bar{A} \cdot \bar{B}=\overline{\bar{A}}+\overline{\bar{B}}=A+B \\
\Rightarrow Y=A+B
\end{array}
\)
Therefore, logic operation carried by the given circuit is OR.
\( \overline{A \cdot A}=\bar{A} \) and \( \overline{B \cdot B}=\bar{B} \)
By de Morgan's law, we have
\(
\begin{array}{l}
\bar{A} \cdot \bar{B}=\overline{\bar{A}}+\overline{\bar{B}}=A+B \\
\Rightarrow Y=A+B
\end{array}
\)
Therefore, logic operation carried by the given circuit is OR.
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