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function []=karmap3(k)
n=4; //three variable kmap
m=2
k(:,:,2)=zeros(m,n);
var=['z' 'x' 'y'];
p1=['z''' 'z'];
p2=['x''y''';'x''y';'xy';'xy'''];
cmn4=4;
cmn2=3;
temp=1;
printf('The minimal ecpression of the given Kmap ');
disp(k(:,:,1));
disp("is :");
printf('f');
printf("=");
//8 cells
for i=1:m
for j=1:n
if(k(i,j)~=1 & k(i,j)~=2)
temp=0;
break;
end
end
end
if(temp==1)
printf("1");
abort;
end
//4 cells
z1=ones(1,4);
z2=ones(4,1);
z3=ones(2,2);
temp1=['0' '1'];
temp2=['00';'01';'11';'10'];
for t=1:m
z=k(t,:,1);
no=number_of(k(t,:,2),1);
if(number_of(z,0)==0 & no<cmn4 & number_of(z,1)>0)
k(t,:,2)=z1;
a=strsplit(temp1(1,t));
for in=1:max(size(a))
if(a(in)=='0')
printf('%s''',var(in));
end
if(a(in)=='1')
printf(var(in));
end
end
printf("+");
end
end
for i=1:m-1
for j=1:n
t1=i+1;
if(j==n)
t2=1;
else
t2=j+1;
end
z4=[k(i,j,1) k(i,t2,1);k(t1,j,1) k(t1,t2,1)];
z5=[k(i,j,2) k(i,t2,2);k(t1,j,2) k(t1,t2,2)];
no=number_of(z5);
if(number_of(z4,0)==0 & no<cmn4 & number_of(z4,1)>0)
k(i,j,2)=1;
k(i,t2,2)=1;
k(t1,j,2)=1;
k(t1,t2,2)=1;
a=strsplit(temp2(j,1));
b=strsplit(temp2(t2,1));
c=strcmp(a,b);
for in=1:max(size(c))
if(c(in)==0 & a(in)=='0')
printf('%s''',var(1+in));
end
if(c(in)==0 & a(in)=='1')
printf(var(1+in));
end
end
printf("+");
end
end
end
//2 cells
z6=[1 1];
z7=z6';
for i=1:m
for j=1:n
t1=i+1;
if(j==n)
t2=1;
else
t2=j+1;
end
z8=[k(i,j,1) k(i,t2,1)];
z9=[k(i,j,2) k(i,t2,2)];
no1=number_of(z9,1);
if(number_of(z8,0)==0 & no1<cmn2 & number_of(z8,1)>0)
k(i,j,2)=1;
k(i,t2,2)=1;
printf(p1(1,i));
a=strsplit(temp2(j,1));
b=strsplit(temp2(t2,1));
c=strcmp(a,b);
for in=1:max(size(c))
if(c(in)==0 & a(in)=='0')
printf('%s''',var(1+in));
printf("+");
end
if(c(in)==0 & a(in)=='1')
printf(var(1+in));
printf("+");
end
end
end
end
end
for i=1:m-1
for j=1:n
t1=i+1;
if(j==n)
t2=1;
else
t2=j+1;
end
z10=[k(i,j,1);k(t1,j,1)];
z11=[k(i,j,2);k(t1,j,2)];
no2=number_of(z11,1);
if(number_of(z10,0)==0 & no2<cmn2 & number_of(z10,1)>0)
k(i,j,2)=1;
k(t1,j,2)=1;
printf(p2(j,1));
printf("+");
end
end
end
//single cell
for i=1:m
for j=1:n
if(k(i,j,2)==0 & k(i,j,1)==1)
printf(p1(1,i));
printf(p2(j,1));
printf("+");
end
end
end
printf("0");
disp(" ")
endfunction
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