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(Create truth table before multiplexer), list the inputs for the following configuration. Final Circuit BC IO DIU U IAIA A A

(Create truth table before multiplexer), list the inputs for the following configuration. Final Circuit BC IO DIU U IAIA A A

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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### Implementing a Function Via Multiplexer (Using B & C as Switches) #### Function Specification - **Function to Implement:** \[ F(A, B, C) = A'B + BC + B'C' \] #### Instructions - **Objective:** Implement the specified function using a multiplexer with B and C as control switches. - **Required:** Create a truth table before connecting the multiplexer and list the inputs for the given configuration. #### Diagram Explanation - **Diagram Title:** Final Circuit - **Components:** - A multiplexer with four data inputs. Each input corresponds to a combination of control signals \( B \) and \( C \): - Input for \( \overline{B}\overline{C} \) - Input for \( \overline{B}C \) - Input for \( B\overline{C} \) - Input for \( BC \) - Two control lines are labeled as \( B \) and \( C \), which determine the input that is passed to the output \( f \). #### Implementation Steps 1. **Truth Table Creation:** - Construct a truth table for \( F(A, B, C) \) showing all possible combinations of inputs (A, B, C) and the resultant output F. 2. **Input Listing:** - Determine the appropriate inputs that need to be connected to each line of the multiplexer for it to accurately represent the given function. 3. **Multiplexer Configuration:** - Connect the outputs from the truth table to the respective inputs on the multiplexer as determined by the expressions for \( \overline{B}\overline{C} \), \( \overline{B}C \), \( B\overline{C} \), and \( BC \). By following these guidelines, the logical function \( F(A, B, C) \) can be implemented effectively using a multiplexer.
Transcribed Image Text:### Implementing a Function Via Multiplexer (Using B & C as Switches) #### Function Specification - **Function to Implement:** \[ F(A, B, C) = A'B + BC + B'C' \] #### Instructions - **Objective:** Implement the specified function using a multiplexer with B and C as control switches. - **Required:** Create a truth table before connecting the multiplexer and list the inputs for the given configuration. #### Diagram Explanation - **Diagram Title:** Final Circuit - **Components:** - A multiplexer with four data inputs. Each input corresponds to a combination of control signals \( B \) and \( C \): - Input for \( \overline{B}\overline{C} \) - Input for \( \overline{B}C \) - Input for \( B\overline{C} \) - Input for \( BC \) - Two control lines are labeled as \( B \) and \( C \), which determine the input that is passed to the output \( f \). #### Implementation Steps 1. **Truth Table Creation:** - Construct a truth table for \( F(A, B, C) \) showing all possible combinations of inputs (A, B, C) and the resultant output F. 2. **Input Listing:** - Determine the appropriate inputs that need to be connected to each line of the multiplexer for it to accurately represent the given function. 3. **Multiplexer Configuration:** - Connect the outputs from the truth table to the respective inputs on the multiplexer as determined by the expressions for \( \overline{B}\overline{C} \), \( \overline{B}C \), \( B\overline{C} \), and \( BC \). By following these guidelines, the logical function \( F(A, B, C) \) can be implemented effectively using a multiplexer.
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