FORTRAN floating point accuracy problems

[Werner]

1E15/(5E15 +1) on Free42 Bin equals (hex digits

1.9999999999998 * 2^(-3)

In the display of course, this shows as 0.2, but after

1e8 x FP

you see

9.99999996275e-1

And the '6' in its decimal representation is really the 16th digit, not the 17th (the leading '1' is the implied bit, not a full digit), it doesn't get rounded.

When you enter 0.2, it's hex representation is

1.999999999999A * 2^(-3)

Cheers, Werner