Hi Kimberley Pereira,
If you want to translate your for-loop into a while-loop, you have to think about, when exactly the loop breaks. That is the case if the if-statement is not fullfilled or i becomes greater 200. Now you can negate the falsification statement and you end up with what is written in the code snippet.
Naming the index variable "i" or "j" is not recommended since the complex number is referenced the same way.
ik = 0;
while value+rounding_error/2 > value && ik<= 200
ik = i+1;
rounding_error = rounding_error /2;