How to perform XOR on a char matrix?

Hello,

I have a 1x5 char matrix. I need to perform a bitwise XOR operation on all the elements in the matrix.If T is the char matrix , I need a matrix T' such that

             T`= T XOR (T-1)`  for all T
                 T             for T=1

Let the char matrix be T

       T=['0000000000110111' '0000000001000001'  '0000000001001010'  '0000000010111000'  '0000000000101111']
       T`=['0000000000110111' '0000000001110110' '0000000000111100' '0000000010000100' '0000000010101011']

ie; Leaving the first element as such , I need to XOR all the other elements with the newly formed matrix. I tried the following code but I'm unable to get the correct result.

         Yxor1d = [T(1) cellfun(@(a,b) char((a ~= b) + '0'), T(2:end), T(1:end-1), 'UniformOutput', false)]

I need to perform the XOR operation such that , for obtaining the elements of T'

T' (2)= T(2) XOR T' (1) T' (3)= T(3) XOR T' (2) and so on.

It'll be really helpful to know where I went wrong.Thanks in adavnce. Please help.