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. What is the minimum possible spacing between x and y? What is the maximum possible spacing between x and y? How are these results affected by the rounding rule used? Hint: Note that x and y are two adjacent positive numbers. For instance, in a normalized floating-point system with base 10, precision 4, L = 3, and U = 10, 2.151 and 2.152 are adjacent numbers. You need to give a general expression for the minimum/maximum possible spacing in terms of , p, L, and U.