$2$a Write the $0\mathrm{.}1$ in double precision machine number representation by

implementing rounding and chopping.

$2($b$)$ Find the binary single and double precision representation of the num$-$

bers

i $27$

ii $66$

$2($c$)$ Use the Taylor polynomial approximations to avoid the loss of signifi$-$

cant errors in the following formulas.

$\frac{e^x-1}{x}$

$\frac{e^x-e^{-x}}{2x}$

please answer the problems specially NumLock $2.$C