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//Example 3.11: Reduce expression using k-map
clc; //clears the window
clear; //clears all existing variables
//Mapping the expression//
disp(' W''X'' W''X WX WX'' ')
disp('Y''Z'' - ')
disp('YZ'' 1 1 1 ')
disp('YZ 1 1 1')
disp('YZ'' 1 1 1')
disp(' From the map, high outputs are for 5,6,7,8,9,10,13,14,15 ') //given logic equation
a=[0 1 0 1;0 1 1 0;0 1 1 1;1 0 0 0 ;1 0 0 1;1 0 1 0;1 1 0 1;1 1 0 0 ; 1 1 1 1']
disp(a)
for i=1: 9
if a(i,1)==1 then
b(i,1)='W'
else
b(i,1)='W'''
end
if a(i,2)==1 then
b(i,2)='X'
else
b(i,2)='X'''
end
if a(i,3)==1 then
b(i,3)='Y'
else
b(i,3)='Y'''
end
if a(i,4)==1 then
b(i,4)='Z'
else
b(i,4)=' Z'''
end
end
disp(' Evaluating expression from truth table and map ')
x1=strcat([ b(1,1),b(1,2),b(1,3),b(1,4) ])
x2=strcat([ b(2,1),b(2,2),b(2,3),b(2,4) ])
x3=strcat([ b(3,1),b(3,2),b(3,3),b(3,4) ])
x4=strcat([ b(4,1),b(4,2),b(4,3),b(4,4) ])
x5=strcat([ b(5,1),b(5,2),b(5,3),b(5,4) ])
x6=strcat([ b(6,1),b(6,2),b(6,3),b(6,4) ])
x7=strcat([ b(7,1),b(7,2),b(7,3),b(7,4) ])
x8=strcat([ b(8,1),b(8,2),b(8,3),b(8,4) ])
x9=strcat([ b(9,1),b(9,2),b(9,3),b(9,4) ])
x=[x1"+",x2"+",x3"+",x4"+",x5"+",x6"+",x7"+",x8"+",x9]
disp(x)
//Expression is displayed//
disp('Three different reduced expression using boolean algebra')
disp('G = XZ + WZ + W''YZ'' + WX''Y')
disp('G = XZ + WZ + W''YZ'' + X''YZ''')
disp('G = XZ + WZ + X''YZ'' + W''XY')
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