Floating Point Arithmetic - Stallings 7th edition Question - 9.22

Question

Assume that the exponent e is constrained to lie in the range  0 <= e <= X with a bias of q, that the base is b, and that the significand is p digits in length.

a. What are the largest and smallest positive values that can be written?
b. What are the largest and smallest positive values that can be written as normalized floating-point numbers?

Answer 1

Min: 

 S       E      M

0

0

0

 

 

Max: 

     S           E               M 

0

2^k-1

1-2^(-p)