MATLAB: 4 matrix generation depending on a specific value,

Question

i want to generate a matrix of all possible binary combinations dpeending on a specfic 1×4 vector, and the vector elements are randomly generated from 1:4.

for example if the vector is [2 3 2 4], the first matrix should be all possible combinations of 2 bits

[0 0; 0 1; 1 0 ; 11]

, the second matrix should be all possbile combinations of 3 bits,

[ 0 0 0; 0 0 1; 0 1 0; 0 1 1; 1 0 0; 1 0 1; 1 1 0 ; 1 1 1]

and so on..

Answer 1

Try this

v = [2 3 2 4];
C = arrayfun(@(x) {dec2bin(0:2^x-1)-48}, v);

Result

>> C{1} % first matrix
ans =
     0     0
     0     1
     1     0
     1     1
>> C{2} % second matrix
ans =
     0     0     0
     0     0     1
     0     1     0
     0     1     1
     1     0     0
     1     0     1
     1     1     0
     1     1     1
>> C{3} % third matrix
ans =
     0     0
     0     1
     1     0
     1     1
>> C{4} % fourth matrix
ans =
     0     0     0     0
     0     0     0     1
     0     0     1     0
     0     0     1     1
     0     1     0     0
     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     0     1     1
     1     1     0     0
     1     1     0     1
     1     1     1     0
     1     1     1     1