Problem $1-$ Short Questions

I. Consider an application that runs on a $32$ bit microcontroller such as MSP$432$ where a mathematical analysis needs to be done on a set of numbers ranging from

$0-500.$ Which option gives more precision: Fixed point or floating point? What if the range changes to $0-5000.$ In each case explain your reasoning precisely. $(5$ points$)$

I. Consider the following function where m and n are assumed to be positive integers:

$$

mystery $($n$,$ m$)$ :

$=0$;

e

$=0$;

while

$($e $<$ m$)\{$

$+$ n;

e

$=$ e

$+1$;

$\}$

return p;

What does this function do$?$ Prove your answer by providing a simple example. $(5$ points$)$