Let x be a given nonzero floating-point number in a normalized system, and let y be an adjacent floating-point number, also non-zero.
a) What's the minimum possible spacing between x and y? b) What's the maximum possible spacing between x and y?
I know Floating-point number system is characterized by four integers,
x = +/- (d_0 + d1/B + d2/B + ... + d_(p-1)/B^(p-1)*B^E, where
0 <= d_i, <= B - 1, i = 0,...,p-1 and L <= E <= U
I can't seem to correlate the relationship between the equation I have and the minimum/maximum possible spacing possible between the two adjacent FP numbers. Help please!
numerical-methods