We know that fractional numbers that are powers of 2 like 0.25 (2^-2) or 0.0625 (2^-4) can be represented exactly in a floating point or double type variable.
Any fractional number that is also an exact sum of a power of 2 can also be exactly represented.
However, 0.01 cannot be exactly represented. It will be 0.009999999999999787 when stored as a double type value (binary64).
So, I am wondering whether there is a value or values that will present with the largest discrepancy.