Given the truth table of a set of digital circuits with four inputs (a,b,c and d) and three outputs (F, G and H). a) Use K-map to simplify the expression for output F only and write down the logic expression in POS. Implement the circuit using only NOR gates only.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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Given the truth table of a set of digital circuits with four inputs (a,b,c and d) and three
outputs (F, G and H).
a) Use K-map to simplify the expression for output F
only and write down the logic expression in POS.
Implement the circuit using only NOR gates only.
d) Implement the circuits for all three outputs (F, G and
H) using the three 4:1 muxes.
No.
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Input
abcd F
0000
0001
0010
0011
0100
0101
0110 1 1
1001
Outputs
G H
1010
6LOHOO
0 0 0
1110
1 0
1111
XOH
0111 X X
lo
0 1 0
1
H
OHXOHOXH
1000 0 X 0
1 1
X
0 1
OOHXHOXOOXHHOHO
0
1100 1 X
0
1101 0 0
1011 0 1 1
1
0 1
1 1 0
Transcribed Image Text:Given the truth table of a set of digital circuits with four inputs (a,b,c and d) and three outputs (F, G and H). a) Use K-map to simplify the expression for output F only and write down the logic expression in POS. Implement the circuit using only NOR gates only. d) Implement the circuits for all three outputs (F, G and H) using the three 4:1 muxes. No. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Input abcd F 0000 0001 0010 0011 0100 0101 0110 1 1 1001 Outputs G H 1010 6LOHOO 0 0 0 1110 1 0 1111 XOH 0111 X X lo 0 1 0 1 H OHXOHOXH 1000 0 X 0 1 1 X 0 1 OOHXHOXOOXHHOHO 0 1100 1 X 0 1101 0 0 1011 0 1 1 1 0 1 1 1 0
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