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
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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Transcribed Image Text: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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