Please read this:

What I dont understand is the last part of :Several different representations of real numbers have been proposed, but by far the most widely used is the floating-point representation. Floating-point representations have a base (which is always assumed to be even) and a precisionp. If = 10 andp= 3, then the number 0.1 is represented as 1.00 × 10-1 . If = 2 andp= 24, then the decimal number 0.1 cannot be represented exactly, but is approximately 1.10011001100110011001101 × 2-4.

In general, a floating-point number will be represented as ±d.dd... d×e, whered.dd... dis called thesignificandand haspdigits. More precisely ±d0. d1d2 ...dp-1 ×erepresents the number .

The termfloating-point numberwill be used to mean a real number that can be exactly represented in the format under discussion. Two other parameters associated with floating-point representations are the largest and smallest allowable exponents,emax andemin. Since there are p possible significands, andemax -emin + 1 possible exponents, a floating-point number can be encoded in

bits, where the final +1 is for the sign bit.

How the whole expression could be denoted by that formular is bugging me and I would like to understand it if anyone can explain it.

Please any reasonable input would be well appreciated.

Thank you