Apologies if this comes across as unkind. Truely: Not meant that way!
Thank you for answering and for your good intent. However, I think you don't quite understand what I mean
. Of course, everything on the computer is binary, including ASCII text. That is not the issue.
When computing with numbers, the native number representation is something else than ASCII. I would like to know what the native floating point representation is, is it for example IEEE 754 http://en.wikipedia.org/wiki/IEEE_floating-point_standard
or something else? As the original question states, I think it would be a good idea if such numbers could be transported over the serial port after being prepared to the relevant native format for the Arduino on the PC. That way no text to binary conversion would be needed on the Arduino.