Question

Choose the correct Boolean expression for the given circuit diagram:

• A. $A.B$
• B. $A+B$
• C. $\overline{A}+\overline{B}$
• D. $\overline{A}.\overline{B}$

Answer 1

The correct option is D

$\overline{A}.\overline{B}$

Step 1: Given data

In this figure the first part of the figure shown $OR$ gate and the second part of the figure shown $NOT$ gate

Voltage $=5V$

Step 2: To find the Boolean expression

$$\begin{gathered} Y_P=OR+NOT \\ =NORgate \end{gathered}$$

$$\begin{gathered} Y=\overline{A+B} \\ Y=\overline{A}.\overline{B} \end{gathered}$$

Hence the Boolean expression for the circuit diagram is $Y=\overline{A}.\overline{B}$

Therefore the correct answer is Option D.