numerical analysis - Spacing between two floating point values in a normalized system? -


let x given nonzero floating-point number in normalized system, , let y adjacent floating-point number, non-zero.

a) what's minimum possible spacing between x , y? b) what's maximum possible spacing between x , y?

i know floating-point number system characterized 4 integers,

x = +/- (d_0 + d1/b + d2/b + ... + d_(p-1)/b^(p-1)*b^e, where

0 <= d_i, <= b - 1, = 0,...,p-1 , l <= e <= u

i can't seem correlate relationship between equation have , minimum/maximum possible spacing possible between 2 adjacent fp numbers. please!

numerical-methods


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