Precision, new prices

[Saaa]

Ok it finally hit me :(
The 24 fraction bits in a float aren't used like an integer (2^24 giving max 
7 decimal digits precision)
they are used by halving the value of the previous bit: 1, 0.5, 0.25 ... 
like fractions !!!
this of course has a much wider decimal range (something like 20 or so) 
because not all numbers are
represented.

Thus, the formatting %.100g and downs code both just give the correct answer 
.

Now, there are 2^24 different floats being represented (ignoring exponent) 
so the question for me now is:
What is the minimal (decimal) representation of a float for which the 
following holds:

float f; //for all possible floats
string s = format(f);
float f2 = to!(float)(s);
assert(f == f2);

Does your second code hold, downs?