> The IEEE floats can represent a subset of integers in their range exactly. For example, 64 bit floats can represent the range of 32 bit ints accurately (and m

> The IEEE floats can represent a subset of integers in their range exactly. For example, 64 bit floats can represent the range of 32 bit ints accurately (and more). I know, I am being a little facetious. A double has a 52 bit mantissa, so it can exactly represent integers that need 52 or less bits. Still, as a percent, a float can represent 0% of the reals. There are an infinite amount of numbers it cannot represent, even if we give it lower and upper bounds. Whereas an int can represent 100% of the integers within a lower and upper bound.