Considering the $32-$bit floating$-$point format representation of machine numbers

a$)$ Write down the maximum finite number in binary format

b$)$ Convert your answer for $($a$)$ to base ten, show each step of your calculation

c$)$ Write down the next maximum finite number in binary format

d$)$ Convert your answer for $($c$)$ to base ten, show each step of your calculation

e$)$ Write down the minimum positive finite number in binary format

f$)$ Convert your answer for $($e$)$ to base ten, show each step of your calculation

g$)$ Write down the next minimum positive finite number in binary format

h$)$ Convert your answer for $($g$)$ to base ten, show each step of your calculation

i$)$ Calculate the ratio $($b$-$d$)/$b

j$)$ Calculate the ratio $($f$-$h$)/$f