A В Е Do D1 E A В Do D1 D2 D3 1 D2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - D3 XO - O -

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter9: Components For Electric Motors
Section: Chapter Questions
Problem 14RQ
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Question

A combinational circuit is specified by the following three Boolean functions:
F 1 ( A , B , C ) = Σ ( 1 , 4 , 6 ) F 2 ( A , B , C ) = Σ ( 3 , 5 ) F 3 ( A , B , C ) = Σ ( 2 , 4 , 6 , 7 )
Implement the circuit with a decoder constructed with NAND gates (similar to Fig. 4.19 ) and NAND or AND gates connected to the decoder outputs. Use a block diagram for the decoder. Minimize the number of inputs in the external gates.

A
В Е
Do
D1
E
A
В
Do
D1
D2
D3
1
D2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
- D3
XO - O -
Transcribed Image Text:A В Е Do D1 E A В Do D1 D2 D3 1 D2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - D3 XO - O -
Expert Solution
Step 1

The required circuit design can be obtained by converting the expression in terms of NAND logic and then implement using decoder.

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