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). b) Use VEM (variable entered mapping) to simplify the expressions for output G only, and write down the logic expression. You are to use the least significant bit (d) as your variable. Implement the circuit using only 2:1 mux devices. No. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Input Outputs abcd FGH 0000 000 1 0 0 0001 0010 0 1 0 0011 01 1 0100 0101 0110 0111 1000 1001 1010 1011 1100 1 X 1101 000 1110 X 0 1111 1 1 X 0 1 X 0 1 X 1 0 X X x 0 0x 1 1 OOXH 0 X 0 X 0 1 1 1 1 0

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.
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).
b) Use VEM (variable entered mapping) to simplify the
expressions for output G only, and write down the
logic expression. You are to use the least significant
bit (d) as your variable. Implement the circuit using
only 2:1 mux devices.
No.
0
1
2
..
3
4
5
6
•NHN35
T
7
8
.......
9
Input
Outputs
abcd F G H
0000
0001
0010
0011
0100
0101
0110
0111
1000
1001
10 1010
11 1011
0 0 0
HOOXOHXOXO
1 0 0
12 1100 1
HO
1 0
1 1
14 1110 X
15 1111 1
X X
0 1
1 0
X X
1 1
X 0
HOHXOOH
XHHOHO
13 1101 0 0
0
1 1
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). b) Use VEM (variable entered mapping) to simplify the expressions for output G only, and write down the logic expression. You are to use the least significant bit (d) as your variable. Implement the circuit using only 2:1 mux devices. No. 0 1 2 .. 3 4 5 6 •NHN35 T 7 8 ....... 9 Input Outputs abcd F G H 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 10 1010 11 1011 0 0 0 HOOXOHXOXO 1 0 0 12 1100 1 HO 1 0 1 1 14 1110 X 15 1111 1 X X 0 1 1 0 X X 1 1 X 0 HOHXOOH XHHOHO 13 1101 0 0 0 1 1 1 1 1 0
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