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Write the two outputs of S and C, in terms of the four inputs A, B and C; for the follow logic gates configuration A В Ci Co

Write the two outputs of S and C, in terms of the four inputs A, B and C; for the follow logic gates configuration A В Ci Co

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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## Logic Gate Configuration: Analysis of Outputs S and C₀ ### Problem Statement: Determine the outputs S and C₀ based on the four inputs A, B, and Cᵢ using the depicted logic gate configuration. ### Diagram Explanation: The diagram illustrates a logic circuit composed of a combination of AND, OR, and XOR gates. The inputs to this circuit are labeled A, B, and Cᵢ. The outputs are labeled S and C₀. #### Logic Gates Details: 1. **XOR Gate**: - The first XOR gate takes input A and B. - The output is connected to both the second XOR gate and an AND gate. 2. **Second XOR Gate**: - Inputs are the output from the first XOR gate and Cᵢ. - The output from this gate is the signal S. 3. **AND Gate**: - One input is Cᵢ and the other is the output from the first XOR gate. - The output is connected to the OR gate. 4. **Second AND Gate**: - Takes inputs A and B. - The output is connected to the OR gate as well. 5. **OR Gate**: - Combines outputs from both AND gates. - The output from this gate is the signal C₀. ### Outputs: - **S (Sum Output)**: The result of the exclusive OR operation between the result of A XOR B and Cᵢ. - **C₀ (Carry Output)**: The logical OR of the outputs from the two AND gates, which handle the input combinations that contribute to carry-over. ### Conclusion: The circuit represents a full adder logic, where S is the sum bit and C₀ is the carry bit from the binary addition of A, B, and Cᵢ. Understanding such configurations is crucial for developing combinational logic in digital electronics.
Transcribed Image Text:## Logic Gate Configuration: Analysis of Outputs S and C₀ ### Problem Statement: Determine the outputs S and C₀ based on the four inputs A, B, and Cᵢ using the depicted logic gate configuration. ### Diagram Explanation: The diagram illustrates a logic circuit composed of a combination of AND, OR, and XOR gates. The inputs to this circuit are labeled A, B, and Cᵢ. The outputs are labeled S and C₀. #### Logic Gates Details: 1. **XOR Gate**: - The first XOR gate takes input A and B. - The output is connected to both the second XOR gate and an AND gate. 2. **Second XOR Gate**: - Inputs are the output from the first XOR gate and Cᵢ. - The output from this gate is the signal S. 3. **AND Gate**: - One input is Cᵢ and the other is the output from the first XOR gate. - The output is connected to the OR gate. 4. **Second AND Gate**: - Takes inputs A and B. - The output is connected to the OR gate as well. 5. **OR Gate**: - Combines outputs from both AND gates. - The output from this gate is the signal C₀. ### Outputs: - **S (Sum Output)**: The result of the exclusive OR operation between the result of A XOR B and Cᵢ. - **C₀ (Carry Output)**: The logical OR of the outputs from the two AND gates, which handle the input combinations that contribute to carry-over. ### Conclusion: The circuit represents a full adder logic, where S is the sum bit and C₀ is the carry bit from the binary addition of A, B, and Cᵢ. Understanding such configurations is crucial for developing combinational logic in digital electronics.
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