How many distinct positive numbers can be represented in a f

How many distinct positive numbers can be represented in a floating point system using B = 10, precision t = 2, and exponential range l = -9, u = 10?

Solution

Answer:

We have the formulla :-

2( 1)^(p1)*(U L + 1) + 1 ----> (A)

where p is precision , beta is base

Here beta = 10 , u = 10 , L = -9 and p = 2

Therefore substitute the values in (A) , we get

2( 1)^(p1)*(U L + 1) + 1

2(10 - 1) 10^1 * ( 10 +9 + 1) + 1

= 18 * 10 * 20 + 1 = 3601 Answer