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Counting value changes

Good afternoon, 
I've encountered a little bit of a problem, would appreciate any help here.

I made a small vector consisting of ones and zeros. 
Something like this x <- c(0,1,0,1,0,0,1,0), and all I need is to count how
many times "0" becomes "1". 
Tried various, of what I thought, methods with built in functions. Didn't
get any further.

Thank you very much.

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