$4.$ Floating$-$point numbers $(4$ points$)$

Use single$-$precision IEEE FP representation to answer the questions below.

a$)$ How to represent $0$ in FP number? Why? $(1)$

b$)$ Does FP support the following properties? $($Y$/$N$)(3)$

$1.$ Associative :$($a$+$b$)+$c $=$ a$+($b$+$c$)$

$2.$ Commutative: axb $=$ bxa

$3.1/3==1/3\mathrm{.}0$