Let's analyze the given CMOS circuit to derive the Boolean expression for its output.

The circuit involves both PMOS and NMOS transistors. Here's a step-by-step breakdown to understand how the logic gates are formed:

1. PMOS transistors: These transistors conduct when the input is low (0). The configuration of the PMOS transistors in the circuit will define the part of the Boolean expression that corresponds to the logical OR operation.

2. NMOS transistors: These transistors conduct when the input is high (1). The arrangement of the NMOS transistors will determine the part of the Boolean expression for the AND operation.

3. Transistor connections: The circuit’s design and the interconnections between A and B will show how the inputs are processed and lead to the output.

Given the structure of the circuit, the Boolean expression derived from this CMOS logic design can be formulated.

I will now evaluate the answer choices for you:

• A B'
• A' B'
• A' B
• A B
• None of these

Let me analyze further to provide a final solution.Upon examining the CMOS circuit in the image, we can deduce that the design represents a combination of logic gates. The circuit features both PMOS and NMOS transistors in series and parallel configurations, which leads to a corresponding Boolean expression.

Step-by-step logic:

• The two inputs are A and B.
• The arrangement of PMOS transistors indicates that a logical OR operation will take place between the negations of A and B.
• The NMOS transistors will provide a logical AND operation, ensuring that the output is low when either of the variables (A or B) is high.

Conclusion:

The Boolean expression derived from this CMOS circuit corresponds to the output of A' B', as the circuit design forms the logical combination of NOT A AND NOT B.

Thus, the correct answer is:

• A' B'

Would you like further details on how this Boolean expression is derived? Or do you have any other questions?

Here are some related questions for you to explore:

1. How do PMOS and NMOS transistors behave differently in CMOS circuits?
2. What is the difference between series and parallel configurations in CMOS logic gates?
3. How do you derive a Boolean expression from a circuit diagram?
4. How do the concepts of pull-up and pull-down resistors work in CMOS logic?
5. What is the significance of using CMOS technology in logic circuits?

Tip: Always trace the paths in the circuit to identify how inputs interact through the transistors, helping you simplify the expression step by step!