Introductory Circuit Analysis (13th Edition)
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ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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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.](https://content.bartleby.com/qna-images/question/28d87aad-9c30-4a0c-a50c-2652b053b249/1bc55f40-1339-4c83-9f83-ed97a2bfc9c0/gr0yfsu_processed.png)
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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