$($Consider a computer where $(\backslash$beta $,$ t$,$ L$,$ U$)=(4,5,2,2).$

i$)$ What is the largest floating point number in this computer?

$($ii$)$ What is the smallest positive floating point number?

$($iii$)$ How many floating point numbers are there total? $($Remember $0$ but ignore

$$non$-$normal$$ numbers.$)$

$($iv$)$ What is the value of the rounding unit $\backslash$eta $?$