show work. Consider a miniature binary computer whose floating$-$point words consist of $4$ binary $($i$.$e$.,$ base$-2)$

digits for the mantissa and $3$ binary digits for the exponent $($plus sign bits$).$ Let

$x=(\mathrm{.}1011{)}_2{2}^0,y=(\mathrm{.}1100{)}_2{2}^0.$

Mark in the provided table whether the machine operation indicated $($with the result $Z$ assumed normalized$)$ is

exact, rounded $($i$.$e$.,$ subject to nonzero rounding error$),$ overflows, or underflows. Show your work.