Introductory Circuit Analysis (13th Edition)
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ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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![**Multiplexers**
In the days before PLDs, clever logic designers used multiplexers to realize "random" combinational logic functions. For example, a 74x151 8-input multiplexer and appropriate inverters could realize any function of four variables. The multiplexer to the right will be used to implement the following logic function:
\[ F_{ABCD} = ABD' + A'B' + A'BC'D + BC'D + AB'CD \]
(a) **Develop a truth table for F.**
(b) **Implement F utilizing the multiplexer circuit shown to the right. Show all connections needed for each input. Note: C is the most significant select bit.**
**Diagram Explanation**
The diagram on the right shows a 74x151 8-input multiplexer. It includes the following connections:
- **EN**: Enable input
- **A, B, C**: Select lines
- **D0 to D7**: Data inputs
- **Y**: Multiplexer output
Each select line (A, B, C) is used to select one of the 8 data inputs (D0 to D7), and the output Y reflects the value on the selected data input when the enable (EN) is active. The note indicates that C is the most significant select bit, affecting the highest level of selection in the binary addressing of the data inputs.](https://content.bartleby.com/qna-images/question/93e18a88-13ba-47d2-8c84-ec9d29397d2a/05254ddc-8df1-49ff-ba82-98448441b4b8/flomjo9_processed.jpeg)
Transcribed Image Text:**Multiplexers**
In the days before PLDs, clever logic designers used multiplexers to realize "random" combinational logic functions. For example, a 74x151 8-input multiplexer and appropriate inverters could realize any function of four variables. The multiplexer to the right will be used to implement the following logic function:
\[ F_{ABCD} = ABD' + A'B' + A'BC'D + BC'D + AB'CD \]
(a) **Develop a truth table for F.**
(b) **Implement F utilizing the multiplexer circuit shown to the right. Show all connections needed for each input. Note: C is the most significant select bit.**
**Diagram Explanation**
The diagram on the right shows a 74x151 8-input multiplexer. It includes the following connections:
- **EN**: Enable input
- **A, B, C**: Select lines
- **D0 to D7**: Data inputs
- **Y**: Multiplexer output
Each select line (A, B, C) is used to select one of the 8 data inputs (D0 to D7), and the output Y reflects the value on the selected data input when the enable (EN) is active. The note indicates that C is the most significant select bit, affecting the highest level of selection in the binary addressing of the data inputs.
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