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clc;
n=4; //four variable kmap
k=[0 0 1 0;
1 1 1 0;
0 1 1 1;
0 1 0 0];
k(:,:,2)=zeros(n,n); //temporary matrix to know whether a element is paired or not
//declaring notations to display output
var=['y' 'z' 'w' 'x'];
p1=['y^z^' 'y''z' 'yz' 'yz'''];
p2=['w^x^';'w''x';'wx';'wx'''];
//minimum redundant elements accepted while pairing
cmn4=1;
cmn2=1;
temp=1;
disp("The minimal ecpression of the given Kmap ");
disp(k(:,:,1));
disp("is :");
disp(" ")
//16 cells
for i=1:n
for j=1:n
if(k(i,j)~=1)
temp=0;
break;
end
end
end
printf('f=');
if(temp==1)
printf("1");
abort;
end
//8 cells
z1=ones(2,4);
z2=ones(4,2);
temp1=['00' '01' '11' '10'];
temp2=temp1';
for i=1:n
if(i==4)
t=1;
else
t=i+1;
end
z=[k(i,:,1);k(t,:,1)];
if(z==z1)
k(i,:,2)=[1 1 1 1];
k(t,:,2)=[1 1 1 1];
a=strsplit(temp2(i,1));
b=strsplit(temp2(t,1));
c=strcmp(a,b);
for in=1:max(size(c))
if(c(in)==0 & a(in)=='0')
printf('%s''',var(in));
printf('+');
break;
else
if(c(in)==0 & a(in)=='1')
printf(var(in));
printf('+');
break;
end
end
end
end
end
for j=1:n
if(j==4)
t=1;
else
t=j+1;
end
z=[k(:,j,1) k(:,t,1)];
if(z==z2)
k(:,j,2)=[1;1;1;1];
k(:,t,2)=[1;1;1;1];
a=strsplit(temp1(1,j));
b=strsplit(temp1(1,t));
c=strcmp(a,b);
for in=1:max(size(c))
if(c(in)==0 & a(in)=='0')
printf('%s''',var(2+in));
printf('+');
break;
else
if(c(in)==0 & a(in)=='1')
printf(var(2+in));
printf('+');
break;
end
end
end
end
end
//2 cells
z6=[1 1];
z7=z6';
for i=1:n
for j=1:n
if(i==n)
t1=1;
else
t1=i+1;
end
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(z8==z6 & no1<cmn2)
if(i==3 & i+j==5)
;
else
k(i,j,2)=1;
k(i,t2,2)=1;
a=strsplit(temp1(1,j));
b=strsplit(temp1(1,t2));
c=strcmp(a,b);
for in=1:max(size(c))
if(c(in)==0 & a(in)=='0')
printf(p1(1,i));
printf('%s''',var(2+in));
printf("+");
end
if(c(in)==0 & a(in)=='1')
printf(p1(1,i));
printf(var(2+in));
printf("+");
end
end
end
end
end
end
for i=1:n
for j=1:n
if(i==n)
t1=1;
else
t1=i+1;
end
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(z10==z7 & no2<cmn2)
k(i,j,2)=1;
k(t1,j,2)=1;
a=strsplit(temp2(i,1));
b=strsplit(temp2(t1,1));
c=strcmp(a,b);
for in=1:max(size(c))
if(c(in)==0 & a(in)=='0')
printf(p2(j,1));
printf('%s''',var(in));
printf("+");
end
if(c(in)==0 & a(in)=='1')
printf(p2(j,1));
printf(var(in));
printf("+");
end
end
end
end
end
//4 cells
z1=ones(1,4);
z2=ones(4,1);
z3=ones(2,2);
temp1=['00' '01' '11' '10'];
temp2=temp1';
for t=1:n
z=k(t,:,1);
no=number_of(k(t,:,2),1);
if(z==z1 & no<cmn4)
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 t=1:n
z=k(:,t,1);
no=number_of(k(:,t,2),1);
if(z==z2 & no<cmn4)
k(:,t,2)=z2;
a=strsplit(temp2(t,1));
for in=1:max(size(a))
if(a(in)=='0')
printf('%s''',var(2+in));
end
if(a(in)=='1')
printf(var(2+in));
end
end
printf("+");
end
end
for i=1:n
for j=1:n
if(i==n)
t1=1;
else
t1=i+1;
end
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(z5,1);
if(z4==z3 & no<cmn4)
k(i,j,2)=1;
k(i,t2,2)=1;
k(t1,j,2)=1;
k(t1,t2,2)=1;
a=strsplit(temp2(i,1));
b=strsplit(temp2(t1,1));
c=strcmp(a,b);
for in=1:max(size(c))
if(c(in)==0 & a(in)=='0')
printf('%s''',var(in));
end
if(c(in)==0 & a(in)=='1')
printf(var(in));
end
end
a=strsplit(temp1(1,j));
b=strsplit(temp1(1,t2));
c=strcmp(a,b);
for in=1:max(size(c))
if(c(in)==0 & a(in)=='0')
printf('%s''',var(2+in));
end
if(c(in)==0 & a(in)=='1')
printf(var(2+in));
end
end
printf("+");
end
end
end
//single cell
for i=1:n
for j=1:n
if(k(i,j,2)==0 & k(i,j,1)==1)
a=strsplit(temp1(1,j));
b=strsplit(temp2(i,1));
for in=1:max(size(a(:,1)))
if(a(in,1)=='1')
printf(var(in+2));
else
if(a(in,1)=='0')
printf('%s''',var(2+in));
end
end
end
for in=1:max(size(b(:,1)))
if(b(in,1)=='1')
printf(var(in));
else
if(b(in,1)=='0')
printf('%s''',var(in));
end
end
end
printf("+");
end
end
end
printf("0");
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