Given a floating point system $(\backslash$beta $,$ t$,$ L$,$ U $)=(10,4,3,3),$ where $\backslash$beta is the base, t is

the number of significant digits, L and U are the lower and upper bound of the exponent respectively.

i$.$ What are the floating point representations of the real numbers x $=4\mathrm{.}312809$ and y $=$

$0\mathrm{.}4312809$ if the usual rounding strategy is used? $($note that the first digit d$0=0)$

ii$.$ What is the rounding unit $\backslash$eta of this floating point system?