Consider the normalized floating point system (2; 4,-3; 5).
(a) What are the largest and smallest positive numbers?
(b) What is the rounding machine precision?
(c) Compute the floating point representation fl(x) of the following decimal numbers x for our floating point system, using chopping when necessary.
i. 5.326
ii. 22
iii. e = 2.15678938482 ...
(d) Estimate the error |fl(4.2) - 4.2| by rounding.