$($a$)$ The number $\frac{8}{7}=1\mathrm{.}14285714285714$dots obviously has no exact representation in any

decimal floating point system $(=10)$ with finite precision $t.$ Is there a finite floating

point system $($i$.$e$.,$ some finite integer base $$ and precision $t)$ in which this number does

have an exact representation? If yes, then describe such a system.

$($b$)$ Answer the same question for the irrational number $.$