Matrix multiplication using XOR

I am multiplying two matrices together and instead of doing the regular addition I would to use XOR. I tried the XOR function but it gave me errors.

a = [2 3 1 1; 1 1 3 1; 1 1 2 3; 3 1 3 2]
b = [dec2hex(172);dec2hex(119);dec2hex(102);dec2hex(243)]
% prod  = xor(a ,b)
prod = a * b
>> matrix

a =

     2     3     1     1
     1     1     3     1
     1     1     2     3
     3     1     3     2

b =
AC
77
66
F3

prod =

   419   404
   352   335
   438   383
   552   520

>>

[Walter Roberson]

Your b is a character array. You are going to have problems multiplying character arrays or using xor on character arrays.

Are you wanting to do the xor at the level of the formal additions, like

a(1,1) * b(1) XOR a(2,1) * b(2) XOR a(3,1) * b(3) XOR a(4,1) * b(4)

or are you wanting to use xor even at the level of the multiplications, like 3 * b(1) meaning b(1) XOR b(1) XOR b(1) -- since, after all, multiplication is defined by repeated addition and you want your addition to be done as XOR?

[Stephen23]

"but it gave me errors": you do not show us any error message, and the code you have posted works just fine. So it seems that you don't have any problems after all. Congratulations!

Or perhaps you do have some problems, and just forgot to actually show us the complete error message and the exact code used and a description of what you expected to happen. If you want help you need to tell us what you are doing and what you expect your code to do.

[Mandofa]

When I multiply the matrix out ACx2 + 77x3 + 66x1+ F3x1 just for example, I would like to have the plus signs as XOR like ACx2 xor 77x3 xor 66x1 xor F3x1.

Answer 1

[John D'Errico]

Sorry, but you cannot tell MATLAB to arbitrarily replace the addition in a matrix multiply (in a dot product) with some other operator. Some languages like APL for example, allow general dot product forms as I recall, but not in MATLAB. You CAN write code yourself do to that, which is what you will need to do.