I learned with your tutorials sir raymond, I understand fpu power and not necessity to switch to new technologies.

I'm talking this because exist rumors that fpu will not be avaliable in next processors generation. Some instructions buil-in fpu don't exist in SSE/AVX and need be re-done. I think the log, geometric sin, cos, ... .

Thanks sir daydreamer; I'm checking now Taylor series; I have seen that in superfitial way in past.

In previous example of a number with 99 zeros and 1 one; entropy to represent that number reach 8,0793136 bits or 9 bits.

Now, if I do this with factorial (all possible combinations, thanks sir raymond, I remember that post).

100!/99!*1! == 100 or 1100100 in binary form. So, only 7 bits.

This intrigates me along years, was Shannon right!? Answer is yes, industry followed Shannon entropy formula. But not only this, when more data/digits to represent a number/string is given, that factorial will converge very close to Shannon entropy thats more easy to be calculated.

ps: sorry to answer only now, without internet because rain times.

Shannon: Math theory of comunication or information theory.