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This circuit diagram features three inputs \(A\), \(B\), and \(C\) and several logic gates, including AND, OR, and a NOT gate. Let's break down the circuit step by step:

1. **NOT gate**: Input \( B \) goes through a NOT gate, which inverts the value of \( B \). So, the output here will be \( \overline{B} \).
   
2. **AND gates**:
   - The first AND gate takes inputs \( A \) and \( \overline{B} \), meaning the output of this AND gate is \( A \cdot \overline{B} \).
   - The second AND gate takes inputs \( C \) and \( B \), so its output is \( C \cdot B \).

3. **OR gate**: The outputs from the two AND gates are then fed into an OR gate. Therefore, the final output is:
   \[
   \text{Out} = (A \cdot \overline{B}) + (C \cdot B)
   \]

This is the Boolean expression that describes the behavior of the circuit.

### Do you want more details or have any questions?

Here are five related questions:
1. What happens if \(A = 1\), \(B = 0\), and \(C = 1\)?
2. How can this circuit be simplified further using Boolean algebra?
3. Can this circuit be realized using only NAND gates?
4. What would be the truth table for this circuit?
5. How would the output change if the inputs \( A \), \( B \), and \( C \) are flipped?

### Tip:
When simplifying Boolean expressions, remember De Morgan's laws, which can help reduce complex expressions into simpler forms.

Analyze the logic circuit with inputs A, B, and C using AND, OR, and NOT gates to determine the Boolean expression and its behavior.

Analyze a logic circuit involving inputs A, B, and C through the use of AND, OR, and NOT gates. Discover the step-by-step breakdown of the Boolean expression and circuit behavior. Suitable for high school students studying Boolean algebra and circuit design.

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