MATLAB function adds two nonnegative integers where x has at least as many digits as y

My task is to write a MATLAB function that adds two nonnegative integers, assuming that x has at least as many digits as y. x,y, and x_plus_y are row vectors representing nonnegative integers. Each element of the vectors stores one digit of a nonnegative integer. (12345 is represented by [1 2 3 4 5]). I need assistance in storing these numbers as vectors as I am lost on how to do so.

Here is what I have so far, and I apologize that it is not much.

function x_plus_y = hw24(x,y)
%
x = zeros(size(x));
y = zeros(size(y));
x_plus_y = zeros(size(x,y));

for k = 1:length(x)
    for k = 1:length(y)
            x_plus_y = x(k) + y(k);
    end
end

Answer 1

[Matt J]

Hint: You can convert from vector form to a single number as follows

x=[1 2 3 4 5];

xx=x*10.^(4:-1:0).'

xx = 12345

Answer 2

[Ameer Hamza]

Check this alternate method

function x_plus_y = hw24(x,y)
nx = numel(x);
ny = numel(y);
n = max(nx, ny);
x_plus_y = zeros(1, n+1);
x_plus_y = x_plus_y + [zeros(1,n-nx+1) x];
x_plus_y = x_plus_y + [zeros(1,n-ny+1) y];
x_plus_y = mod(x_plus_y,10) + [floor(x_plus_y(2:end)/10) 0];
end

Result

>> x = [9 9 9 9 9];
>> y = [8 6 3 1 9];
>> z = hw24(x, y)
z =
     1     8     6     3     1     8