You must show all your work! Answers without supporting work will

not be given credit. Illegible work falls under the Intended Purpose

policy. Submissions crowded together on a single page will not be graded.

Unclear answers will not be graded. All problems are taken from or

inspired by our Introduction to Logic Design $3$rd Edition text.

Points: $10$

Name:

Find all minimum SoP expressions for the following functions:

$($a$)$ points points

$($c$)$ h$($a$,$b$,$c$,$d$)=\backslash$Sigma m$(1,3,4,5,6,11,12,13,14,15).$ Two SoP expressions. $(0\mathrm{.}75$ points$)$

Answer:

Answer:

$($d$)$ f$($w$,$x$,$y$,$z$)=\backslash$Sigma m$(0,1,2,4,5,6,9,10,11,13,14,15).$ Two SoP expressions. $(0\mathrm{.}75$ points$)$

Answ

Ans Given the function

f$($a$,$b$,$c$,$d$)=\backslash$Sigma m$(0,3,4,5,6,7,8,9,11,13,14,15)$

$($a$)$ List all prime implicants $(1\mathrm{.}0$ points$),$

$($b$)$ List only the essential prime implicants, and $(1\mathrm{.}0$ points$)$

$($c$)$ Give the minimum SoP expression. $(0\mathrm{.}5$ points$)$ Given the function

f$($w$,$x$,$y$,$z$)=\backslash$Sigma m$(0,2,3,5,7,8,9,10,11)+\backslash$Sigma d$(4,15),$

Find three minimum SoP expressions. $(2\mathrm{.}5$ points$)$For each of the following functions, find the indicated minimum SoP AND PoS expressions.

$($a$)$ f$($w$,$x$,$y$,$z$)=\backslash$Sigma m$(1,4,5,6,7,9,11,13,15).$ One SoP expression $()/()$ one PoS expression. $(1\mathrm{.}0$ points$)$

SoP

PoS

PLEASE PLEASE PLEASEE ANSWER ALL QUESTIONS & PROVIDE ALL DETAILS