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//Example 3.5: Reduce expression using k-map
clc; //clears the window
clear; //clears all existing variables
//Mapping the expression//
disp(' A''B'' A''B AB AB'' ')
disp('C''D'' 1 1 ')
disp('CD'' 1 ')
disp('CD 1 1 1 1')
disp('CD'' ')
disp(' From the map, high outputs are for 0,3,7,12,13,14,15 ') //given logic equation
a=[0 0 0 0;0 0 1 1 ;0 1 1 1;1 1 0 0 ;1 1 0 1;1 1 1 0;1 1 1 1]
disp(a)
for i=1: 7
if a(i,1)==1 then
b(i,1)='A'
else
b(i,1)='A'''
end
if a(i,2)==1 then
b(i,2)='B'
else
b(i,2)='B'''
end
if a(i,3)==1 then
b(i,3)='C'
else
b(i,3)='C'''
end
if a(i,4)==1 then
b(i,4)='D'
else
b(i,4)=' D'''
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) ])
x=[x1"+",x2"+",x3"+",x4"+",x5"+",x6"+",x7]
disp(x)
//Expression is displayed//
disp('The reduced expression using boolean algebra')
disp('F = A''B''C''D'' + ABC'' + CD')
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