Question $1$: Number Systems $[20\%]$

Answer the following questions with clear steps:

a$)$ Convert unsigned binary number ${11001110}_2$ to hexadecimal number.

b$)$ Convert decimal number $-{65}_{10}$ to $8-$bit signed binary number.

c$)$ Convert octal number $17\mathrm{.}718$ to unsigned binary number.

d$)$ Given two $8-$bit one's complement binary numbers, $x$ is $11111111$ and $y$ is $00000000,$ calculate $x-y$ in

decimal.

e$)$ Given a binary number in IEEE$-754$ floating point format below, determine its decimal value.