$(15$ points$)[$Float Point Design$]$ From problem $1,$ if we change how a number is determined

using the following functions, what is the new range, and how many distinct numbers can be

represented?

$($a$)$ x $=$ F$\mathrm{.}0$ x $2$E$.($b$)$ x $=0.$F x $2$E$.($c$)$ x $=$ F$\mathrm{.}1$ x $2$E