$(10$ points$)$ What is the difference between unsigned numbers and signed numbers in

binary? Explain $2\text{'}$s complement numbers using a simple example.

$(20$ points$)$ Convert the decimal number $(1301)10$ to its equivalent binary and

hexadecimal. What is the minimum number of bits that you need for each base? $($You can

show decimal numbers using d: $1301d=(1301{)}_{10}),$ and h for hexadecimal numbers, and

b for binary numbers$).$ Extend the sign of this number and convert it to a $16-$bit binary.

$(10$ points$)$ Show $(-1301$