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What is the function of the following circuit? Give your answer in minimized Sum of Products (SOP) form. (see attached).   Please explain steps of how the table was formed.

What is the function of the following circuit? Give your answer in minimized Sum of Products (SOP) form. (see attached).   Please explain steps of how the table was formed.

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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What is the function of the following circuit? Give your answer in minimized Sum of Products (SOP) form. (see attached).

 

Please explain steps of how the table was formed.

The image depicts a digital circuit diagram consisting of a few key components: 1. **AND Gate**: - Inputs: A and C. - This gate performs a logical conjunction, producing an output that is true only when both A and C are true. 2. **Multiplexer**: - Control Inputs: \( S_1:0 \) (which includes inputs B and C for selection). - Inputs: Lines labeled as 00, 01, 10, and 11. - Output: Y. - The multiplexer selects one of the inputs to pass through to the output Y, based on the binary value present at the control lines BC. Each combination of BC corresponds to one of the input lines being selected. The configurations are: - 00 selects the first input. - 01 selects the second input. - 10 selects the third input. - 11 selects the fourth input. In this circuit, the AND gate output may be connected to one of the multiplexer inputs or be part of the selection logic, but this isn't explicit in the image. The final output Y relies on the multiplexer selection determined by inputs B and C.
Transcribed Image Text:The image depicts a digital circuit diagram consisting of a few key components: 1. **AND Gate**: - Inputs: A and C. - This gate performs a logical conjunction, producing an output that is true only when both A and C are true. 2. **Multiplexer**: - Control Inputs: \( S_1:0 \) (which includes inputs B and C for selection). - Inputs: Lines labeled as 00, 01, 10, and 11. - Output: Y. - The multiplexer selects one of the inputs to pass through to the output Y, based on the binary value present at the control lines BC. Each combination of BC corresponds to one of the input lines being selected. The configurations are: - 00 selects the first input. - 01 selects the second input. - 10 selects the third input. - 11 selects the fourth input. In this circuit, the AND gate output may be connected to one of the multiplexer inputs or be part of the selection logic, but this isn't explicit in the image. The final output Y relies on the multiplexer selection determined by inputs B and C.
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