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+//Example 3.19: 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    1    1')
+disp('cd''              1    X ')
+disp('cd      1   1         1')
+disp('cd''         1    1    1')
+disp(' From the map, high outputs are for 0,3,5,6,7,9,10,11,12,13,14') //given logic equation
+a=[0 0 0 0;0 0 1 0;0 1 0 1;0 1 1 0;0 1 1 1;1 0 0 1;1 0 1 0 ;1 0 1 1;1 1 0 0;1 1 0 1;1 1 1 0]
+disp(a)
+for i=1: 11
+    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) ])
+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) ])
+x10=strcat([ b(10,1),b(10,2),b(10,3),b(10,4) ])
+x11=strcat([ b(11,1),b(11,2),b(11,3),b(11,4) ])
+x=[x1"+",x2"+",x3"+",x4"+",x5"+",x6"+",x7"+",x8"+",x9"+",x10"+",x11]
+disp(x)
+//Expression is displayed//
+disp('There are 32 different minimum solutions to the given problem. some of them are')
+disp('F = a''b''c''d'' + a''cd + bc''d + ab''d + abc''+ acd''')
+disp('F = a''b''c''d'' + a''cd + bc''d + abd'' + bcd''+ ab''c')
+disp('F = a''b''c''d'' + b''cd + a''bd + bcd''+ ab''c+ ab''d')
+disp('F = a''b''c''d'' + abc'' + a''bd + bcd''+ ab''c+ ab''d')