The page at
http://www.ryanjuckett.com/programming/printing-floating-point-numbers/
looks quite interesting. I have to take the time to study it.

I've always thought (without digging into it as much as I should), that in
a 32 bit float, there was a sign bit and a 7 bit exponent with the
exponent being biased up so it's always positive. The mantissa was 25 bits
with an "understood leading 1." The exponent is adjusted so the most
significant bit is 1 (unless the exponent is zero, then the result is
zero).

It SEEMS like it should be possible to express an integer exactly. I guess
that is indeed the case and that the we get the rounding issue for
non-integer real numbers (because of the base 10 versus base 2
representation of fractions).

Interesting subject!

Harold

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