Converting base2 scientific notation to base10 scientific notation I would now like to know how to convert a value in base2 scientific notation (is that the correct terminology?), say 1.93 * 2 ^ 88, into the form of A * 10 ^ B.
I want to do this without expressing the first form as a complete number and converting it back to the 2nd form.
I can get by exponent by doing 88 * (ln2 / ln10) = 26.49...
So I have A * 10 ^ 26 now.
How can I solve for A?
Complete equation: 1.93 * 2 ^ 88 = A * 10 ^ 26.

This has been moved/duplicated from https://softwareengineering.stackexchange.com/questions/231692/converting-base2-scientific-notation-to-base10-scientific-notation.

I am not sure I properly understood your problem; so, forgive me if what I write is just stupid.  
You want to convert $a 2^b$ to $c 10^d$. Obviously, you noticed that $d=\lfloor \log (a 2^b)\rfloor$. So, now you need $c$ which is given by $c=a 10^{-d} 2^{b}$ what you get easily using logarithms.  
Please tell me if I understood or not the problem. 
