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Given the Multiplexer Wiring Diagram below, Construct a truth table and find write the equation for the function as SOP. V DD' Multiplexer 000 001 F(A,B,C,D) 010 011 100 101 110 111 210

Given the Multiplexer Wiring Diagram below, Construct a truth table and find write the equation for the function as SOP. V DD' Multiplexer 000 001 F(A,B,C,D) 010 011 100 101 110 111 210

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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1 - B

0 - C

## Multiplexer Wiring Diagram ### Objective Given the multiplexer wiring diagram, construct a truth table and determine the equation for the function as Sum of Products (SOP). ### Diagram Explanation The diagram depicts a multiplexer with several input lines and a function output denoted as F(A, B, C, D). ### Wiring Details - **Input Lines:** - **Vcc (Red):** Connected to power supply. - **D (Blue):** Direct input. - **D' (Green):** Complemented input. - **Multiplexer Channels:** - Each channel corresponds to a specific binary input from 000 to 111. - Lines labeled 2, 1, and 0 signify the selection lines, which help determine the output at F(A, B, C, D). ### Input/Output Configuration - The multiplexer operates by selecting one of its inputs based on the binary value given by the selection lines. - **Binary Input and Corresponding Channel:** - 000 - 001 - 010 - 011 - 100 - 101 - 110 - 111 ### Task 1. **Construct a Truth Table:** - Generate each possible combination of inputs (A, B, C, D) and determine the output F based on the wiring configuration. 2. **Equation as SOP:** - Use the truth table to express F in the form of a Sum of Products. ### Conclusion By analyzing the multiplexer wiring and generating the truth table, you can derive the SOP equation, which will provide a logical representation of F based on the inputs A, B, C, and D.
Transcribed Image Text:## Multiplexer Wiring Diagram ### Objective Given the multiplexer wiring diagram, construct a truth table and determine the equation for the function as Sum of Products (SOP). ### Diagram Explanation The diagram depicts a multiplexer with several input lines and a function output denoted as F(A, B, C, D). ### Wiring Details - **Input Lines:** - **Vcc (Red):** Connected to power supply. - **D (Blue):** Direct input. - **D' (Green):** Complemented input. - **Multiplexer Channels:** - Each channel corresponds to a specific binary input from 000 to 111. - Lines labeled 2, 1, and 0 signify the selection lines, which help determine the output at F(A, B, C, D). ### Input/Output Configuration - The multiplexer operates by selecting one of its inputs based on the binary value given by the selection lines. - **Binary Input and Corresponding Channel:** - 000 - 001 - 010 - 011 - 100 - 101 - 110 - 111 ### Task 1. **Construct a Truth Table:** - Generate each possible combination of inputs (A, B, C, D) and determine the output F based on the wiring configuration. 2. **Equation as SOP:** - Use the truth table to express F in the form of a Sum of Products. ### Conclusion By analyzing the multiplexer wiring and generating the truth table, you can derive the SOP equation, which will provide a logical representation of F based on the inputs A, B, C, and D.
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