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Write the Boolean logic statement for this circuit.

Write the Boolean logic statement for this circuit.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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 \( Q = A \overline{B} + AB \).
Transcribed Image Text: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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