$($Binary addition$)$ addition with binary number in $2\text{'}$s complement format. Note that

MSB is used for sign.

$16-$bit binary number in $2\text{'}$s complement format: ${0000000010001100}_2$

$16-$bit binary number in $2\text{'}$s complement format: ${1111111111110001}_2$

$(5$ points$)1\mathrm{.}1.$ What are the base$-10$ numbers of the binary numbers in $2\text{'}$s complement

format?

$(5$ points$)1\mathrm{.}2.$ Show the addition with the binary numbers and compare whether the

result from the addition with the binary numbers is the same as the result from the

addition with the base$-10$ numbers.