Write the Boolean logic statement for this circuit. The image illustrates a digital logic circuit composed of two AND gates and one NOT gate (inverter).1. **Inputs and Outputs:** - Inputs are labeled as A and B. - The output is labeled as Q.2. **Gate Structure:** - **First AND Gate:** The inputs to this gate are A and the output of the NOT gate. - **Second AND Gate:** This gate receives inputs A and B directly. - **NOT Gate:** This gate takes its input from B and provides its output to the first AND gate. 3. **Connections:** - Input A is connected to both AND gates. - Input B is connected directly to the second AND gate and to the NOT gate. - The output of the NOT gate feeds into the first AND gate. - The outputs of both AND gates are combined together to produce the final output Q.This configuration creates a logic circuit where the output Q will be true if input A is true and input B is false (via the first AND and NOT gates), or if both A and B are true (via the second AND gate). This can be interpreted as achieving the logical function of the expression \( Q = A \overline{B} + AB \).

The logic circuit of the figure as shown below,

Answered: Write the Boolean logic statement for…

Engineering

Electrical Engineering

Write the Boolean logic statement for this circuit.

Electric Motor Control

10th Edition

ISBN:9781133702818

Author:Herman

Publisher:Herman

Chapter22: Sequence Control

Section: Chapter Questions

Problem 6SQ: Draw a symbol for a solid-state logic element AND.

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Question

Write the Boolean logic statement for this circuit.

The image illustrates a digital logic circuit composed of two AND gates and one NOT gate (inverter).

1. **Inputs and Outputs:**
- Inputs are labeled as A and B.
- The output is labeled as Q.

2. **Gate Structure:**
- **First AND Gate:** The inputs to this gate are A and the output of the NOT gate.
- **Second AND Gate:** This gate receives inputs A and B directly.
- **NOT Gate:** This gate takes its input from B and provides its output to the first AND gate.

3. **Connections:**
- Input A is connected to both AND gates.
- Input B is connected directly to the second AND gate and to the NOT gate.
- The output of the NOT gate feeds into the first AND gate.
- The outputs of both AND gates are combined together to produce the final output Q.

This configuration creates a logic circuit where the output Q will be true if input A is true and input B is false (via the first AND and NOT gates), or if both A and B are true (via the second AND gate). This can be interpreted as achieving the logical function of the expression \( Q = A \overline{B} + AB \).

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