Problem 1. Using Karnaugh maps find a minimal sum of products expression and a minimalproduct of sums expression for each of the following logic functions(a) F(W,X,Y,Z) = > (m,,m,m4m, , m1, m,3, m4)7(b) F(W,X,Y,Z) — П(М,,М, М , M,,М,, М,M‚M12, M 13 ,M 14)9 :(c) F(W,X,Y,Z) =(m4» m, , m,, m3 , m,5) + d(mo,m1,m7,m11,m12)(d) F(WXY) - ПОМ,М,,м,,М,,М ,)3Note: d(m;) means F(W,X,Y,Z) for the row of the truth table corresponding to the i'thminterm is "don't care".

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Problem 1. Using Karnaugh maps find a minimal sum of products expression and a minimal product of sums expression for each of the following logic functions (a) F(W,X,Y,Z) = >(m.,m,, m. mg , m1, m,13 » m14 ) 2

Problem 1. Using Karnaugh maps find a minimal sum of products expression and a minimal product of sums expression for each of the following logic functions (a) F(W,X,Y,Z) = >(m.,m,, m. mg , m1, m,13 » m14 ) 2

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

Problem 1. Using Karnaugh maps find a minimal sum of products expression and a minimal
product of sums expression for each of the following logic functions
(a) F(W,X,Y,Z) = > (m,,m,
m
4
m, , m1, m,3, m4)
7
(b) F(W,X,Y,Z) — П(М,,М, М , M,,М,, М,
M
‚M
12, M 13 ,M 14)
9 :
(c) F(W,X,Y,Z) =
(m
4» m, , m,, m3 , m,5) + d(mo,m1,m7,m11,m12)
(d) F(WXY) - ПОМ,М,,м,,М,,М ,)
3
Note: d(m;) means F(W,X,Y,Z) for the row of the truth table corresponding to the i'th
minterm is "don't care".

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Simplification of Boolean Functions Using Karnaugh Map

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