MATLAB: How to find non-consecutive zero entries

MATLAB

I am trying to obtain logical output by finding the entries which are 0 but with a condition that its previous entry must not be zero. I'd like to avoid using FOR loop since the size of the input matrix is quite large. But I just couldn't figure out how to avoid using FOR loop.
Here is the example of my input and desired output.
 input  = [6 6 5 3 0 0 2 0 3 1 0 0 0 4 0;
           3 5 1 4 2 0 0 0 9 0 8 7 0 0 2]  
 output = [0 0 0 0 1 0 0 1 0 0 1 0 0 0 1;
           0 0 0 0 0 1 0 0 0 1 0 0 1 0 0]
Any suggestions would be really appreciated.

Best Answer

What if the first entry is 0? There is no entry before that, so is the non-existent entry non-zero or not?
[false(size(input,1),1) ~input(:,2:end) & input(:,1:end-1)]
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