K-Mapping1. Given Find the minimum sum of products for each function using a Karnaugh map.a. f1(a, b, c) = ma + m₂ + ms + mb. f2(d, e. f)= Em(0,1,2,4)cf3(r,s,t) = ri + rs + rsd. f4(x, y, z)= Mo. Ms2. Using the following expression:F(A,B,C,D) = BD + BCD + ABC + ABCD + BDa. Find the minimum sum of products using K-Map.b. Find the minimum product of sums using K-Map.K-Mapping with Don't Cares1. Using the table on the right for the input and outputs. Determine thefollowing:a.minimum SOP of output Fb.minimum POS of output Fc.minimum SOP of output Gd. minimum POS of output G2. Find the minimum sum of products and the minimum product of sumsfor each function:a. f(a, b, c, d) =b. f(a, b, c, d) =M(0, 1, 6, 8, 11, 12) ND(3, 7, 14, 15)m(1, 3, 4, 11)+Id(2, 7, 8, 12, 14, 15)InputsOutputsA BCDF G00001 100 0 1 011 0 11 10000 11001 1 1 d0 00dd0 0 1 0 10 1 01 d000 00101011011111alalals0110d0d0 1 1 0 1100001 10 11 11100 0111

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1. Given Find the minimum sum of products for each function using a Karnaugh map. a. f1(a, b, c) = ma + m₂ + ms + ma b. f2(d, e. f)= m(0,1,2,4) cf3(r.s.t) = ri + rs + rs d. f4(x, y, z)= Mo.Ms

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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Question

K-Mapping
1. Given Find the minimum sum of products for each function using a Karnaugh map.
a. f1(a, b, c) = ma + m₂ + ms + m
b. f2(d, e. f)= Em(0,1,2,4)
cf3(r,s,t) = ri + rs + rs
d. f4(x, y, z)= Mo. Ms
2. Using the following expression:
F(A,B,C,D) = BD + BCD + ABC + ABCD + BD
a. Find the minimum sum of products using K-Map.
b. Find the minimum product of sums using K-Map.
K-Mapping with Don't Cares
1. Using the table on the right for the input and outputs. Determine the
following:
a.
minimum SOP of output F
b.
minimum POS of output F
c.
minimum SOP of output G
d. minimum POS of output G
2. Find the minimum sum of products and the minimum product of sums
for each function:
a. f(a, b, c, d) =
b. f(a, b, c, d) =
M(0, 1, 6, 8, 11, 12) ND(3, 7, 14, 15)
m(1, 3, 4, 11)+Id(2, 7, 8, 12, 14, 15)
Inputs
Outputs
A BCDF G
00001 1
00 0 1 0
1
1 0 1
1 1
0
0
0
0 1
1
0
0
1 1 1 d
0 00d
d
0 0 1 0 1
0 1 01 d
0
0
0 0
0
1
0
1
0
11
0
1
1
1
1
1
alalals
0
1
1
0
d
0
d
0 1 1 0 1
10000
1 10 11 1
1100 0
1
1
1

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