Calculate by hand $8\mathrm{.}625$ x$101$ divided by $-4\mathrm{.}875$x$100.$

Assume there is a guard, a round bit, and a sticky bit, and use them if necessary.

Write the final answer in both the $16-$bit floating point format described in Exercise $3\mathrm{.}27$ and in decimal.

A $=8\mathrm{.}625$ x$101=86\mathrm{.}25=1\mathrm{.}0101100100$ x $26$

B $=-4\mathrm{.}875$ x$100=-1\mathrm{.}0011100000$ x $22$

Use the online binary calculator

Links to an external site., we get

$($A$\text{'}$s significand$)/($B$\text{'}$s significand$)=1\mathrm{.}00011011000100111011000100111...$

With rounding off, we have A$/$B $=-1\mathrm{.}0001101100*2$Y

What is the value of Y $=$

$($a decimal digit$)$

The encoding of A$/$B in half$-$precision format is

$0$x

$(4-$digit hexadecimal number with upper case letter digits$)$

The decimal value of A$/$B in half precision format is in the form of $-$xx$.$yyyy$.$

What are the $4$ decimal digits in the fraction $($that is$,$ yyyy$)?$