Yes, but no.
Please use decimal "ones" or "zeros" when counting in decimal - binary "ones" and "zeros", though technically the same, don't like it very much to be misgendered that way - because they identify as binary :D

Thats so nice and clean - tried similar, but didn't knew you could use a for-loop as a lazy while-loop like that and I
also wasn't sure if bitshift-equals is a legal expression.

why the use of size_t insead of unsigned?

0 is true

== 0 is false

< 0 is true ?

how the loop stops when value == 0? can you explain?

many probs

I made such a dreadful solution in comparison to this one