Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
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.
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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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