Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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3) Given multiplexor circuit shown.

a) Fill in the K-map for the function (F) implemented.

   A Karnaugh Map (K-map) is provided with the following layout:

   - Horizontal labels: A B with binary combinations 00, 01, 11, 10.
   - Vertical labels: C D with binary combinations 00, 01, 11, 10.

   The map has a 4x4 grid, but no values are filled in.

b) Provide a reduced 3-variable K-Map using map-entered variables for F (Use D as map-entered variable here).

c) Provide the minimum sum for the function F (i.e., minimize the sum of products).

d) Show how to implement the function F using only NAND gates.

The circuit diagram on the right is of a 74x151 multiplexer with:

- Inputs: A, B, C
- Select inputs: S0, S1, S2
- Output: F

The connections are:

- EN tied to GND (Enable)
- S0, S1, S2 tied to some combination of A, B, C
- D0 to D7 inputs
- Y as output connected to F

The multiplexer is powered by +5V.
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Transcribed Image Text:3) Given multiplexor circuit shown. a) Fill in the K-map for the function (F) implemented. A Karnaugh Map (K-map) is provided with the following layout: - Horizontal labels: A B with binary combinations 00, 01, 11, 10. - Vertical labels: C D with binary combinations 00, 01, 11, 10. The map has a 4x4 grid, but no values are filled in. b) Provide a reduced 3-variable K-Map using map-entered variables for F (Use D as map-entered variable here). c) Provide the minimum sum for the function F (i.e., minimize the sum of products). d) Show how to implement the function F using only NAND gates. The circuit diagram on the right is of a 74x151 multiplexer with: - Inputs: A, B, C - Select inputs: S0, S1, S2 - Output: F The connections are: - EN tied to GND (Enable) - S0, S1, S2 tied to some combination of A, B, C - D0 to D7 inputs - Y as output connected to F The multiplexer is powered by +5V.
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