$4.$ Consider single $($float$32)$ floating point number system.

Write down definitions of eps, realmax, realmin, Inf, NaN

Write down binary representations of the following decimal numbers in single $($float$32)$ precision: $-7$; $0$; $3\mathrm{.}25,256000,$ eps, Inf, $-$Inf, realmax, realmin, NaN. $($Check with Matlab using file binary$\_$representations$\_$of$\_$float$32\_\_2023.$m Download binary$\_$representations$\_$of$\_$float$32\_\_2023.$m provided in "Files"$)$

Compute by hand and check with Matlab:

$2+$eps

$2+$eps$-2$

$0*$Inf

$0/$Inf

NaN$+1$

realmax $+$ realmin