a$)(13$ points$)$ Convert the following number from decimal to the IEEE $32-$bit floating point. Show your work. Is thisrepresentation accurate? Explain your answer.$-57\mathrm{.}310($b$)(12$ points$)$ Could you convert the decimal number $124\mathrm{.}015625$ into a single precision float without losing any precision from the original number? Explain your answer.