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.
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.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d4d48b2-6e1b-4ebc-953c-2a38aa9bff00%2Fc0d6dc78-3b1c-408e-9a0f-b0b0865ce7d6%2F3e6euj_processed.png&w=3840&q=75)
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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