Let A $=8\mathrm{.}0546875,$ B $=-1\mathrm{.}79931640625$ x$101.$

Then the exact result of A$*$B is $1\mathrm{.}4492931365966796875.$

Assume A and B are stored in the $16-$bit half precision format described in Exercise $3\mathrm{.}27.$

Let C be the product of A $*$ B in the half precision format.

Let D the decimal value of C $=1.$xxxxxxxx$10$

What are $8$ decimal digits xxxxxxxx in the fraction of D$?$

Hints:

A$=-1\mathrm{.}0000000111$ x $23$ and

B$=-1\mathrm{.}0111000010$ x $2-3$

C $=$ A$*$ B$=1\mathrm{.}0000000111*1\mathrm{.}0111000010=1\mathrm{.}0000000111*1\mathrm{.}0111000010$

$1\mathrm{.}01110011000001001110($round down or up $?)=...$Let A $=8\mathrm{.}0546875,$ B $=-1\mathrm{.}79931640625$ x$101.$

Then the exact result of A$*$B is $1\mathrm{.}4492931365966796875.$

Assume A and B are stored in the $16-$bit half precision format described in Exercise $3\mathrm{.}27.$

Let C be the product of A $*$ B in the half precision format.

Let D the decimal value of C $=1.$xxxxxxxx$10$

What are $8$ decimal digits xxxxxxxx in the fraction of D$?$

Hints:

A$=-1\mathrm{.}0000000111$ x $23$ and

B$=-1\mathrm{.}0111000010$ x $2-3$

C $=$ A$*$ B$=1\mathrm{.}0000000111*1\mathrm{.}0111000010=1\mathrm{.}0000000111*1\mathrm{.}0111000010$

$1\mathrm{.}01110011000001001110($round down or up $?)=...$