onsider 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 $=(\mathrm{.}1011)2\backslash$times $20,$ y $=(\mathrm{.}1100)2\backslash$times $2$