Consider the real number $x=(6\mathrm{.}235{)}_{10}$

$($a$)(3$ marks$)$ First convert the decimal number $x$ in binary format at least up to $9$ decimal$/$binary places.

$($b$)(4$ marks$)$ What will be the binary value of $x[Findfl(x)]$ if you store it in a system with $m=5$ and $m=6$ using the general$/$standard form of Floating point representation.

$($c$)(3$ marks$)$ Now convert back to the decimal form the stored values you obtained in the previous part, and calculate the rounding error of both numbers.