Given the truth table of a set of digital circuits with four inputs (a,b,c and d) and threeoutputs (F, G and H).a) Use K-map to simplify the expression for output Fonly 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 andH) using the three 4:1 muxes.No.0123456789101112131415Inputabcd F0000000100100011010001010110 1 11001OutputsG H10106LOHOO0 0 011101 01111XOH0111 X Xlo0 1 01HOHXOHOXH1000 0 X 01 1X0 1OOHXHOXOOXHHOHO01100 1 X01101 0 01011 0 1 110 11 1 0

The truth table is as shown below,

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

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).

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

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