As you say, by default one would expect round to nearest. I accept that I did not make that explicit... I apologise to anyone who was confused by my failure to be clear that I was not addressing the possible use of any of the Directed Roundings in this case.

On the topic of rounding, IEEE 754 says:

4. Rounding

Rounding takes a number regarded as infinitely precise and, if necessary, modifies it to fit in the destination's format...

Section 5.6 of the standard specifies that "conversions shall be correctly rounded as specified in Section 4", for a range of numbers which includes those under discussion.

So, in the case in point, the rounding decision for the binary decimal conversion to 15 significant decimal digits should start from approximately -95.244365428710949572632671333849 if it is to be 'correctly rounded'. Starting from the already rounded 95.24436542871095 gives the wrong result, as previously discussed.

For more on the standard there's Supplemental Readings for IEEE 754 / 854. Jerome Coonen's "Contributions to a Proposed Standard for Binary Floating-Point Arithmetic" has a complete chapter on "Accurate yet Economical Binary-Decimal Conversions", which I can recommend.

In reply to Re^3: Decimal precision issue: Windows vs. Unix by gone2015
in thread Decimal precision issue: Windows vs. Unix by whakka

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