$7.$ Normalized form of the floating point representation expresses the fractional part of the number as $\backslash (1.$ F $\backslash )$ form, $\backslash ($ F $\backslash )$ being the mantissa.

i$)$ What is the normalized floating point representation of $-64\mathrm{.}125$ in the $16$ bit Floating$-$Point Format with $1$ bit reserved for sign, $5$ bits for exponent and $10$ bits for mantissa? The bias is $15.$

ii$)$ What is the maximum and minimum number that can be represented with this system?