I'm trying to make floating point number systems a bit more intuitive for myself. There are a few things I am confused about, and I think the best way to clear up my confusions would be for someone to guide me through one question:
How many numbers are there in a floating point number system given the base ($B$), precision ($P$), maximum exponent ($e_{max}$) and minimum exponents ($e_{min}$)?
Wikipedia provides the following formula to obtain the number of normalized floating-point number in a system:
$$2*(B − 1)*(B^{P − 1})*(e_{max} − e_{min} + 1) + 1$$
If someone could explain each term's significance that would be extremely helpful. The $+1$'s are the most confusing...