$(4$ points$)$ In order to represent decimal numbers in computers, they need to be converted

to their binary counterparts. The following questions identify the main issues when working

with binary number conversions. Answer the following questions assuming the decimal

number $329($i$.$e$.{329}_{10})$

$($a$)(2$ points$)$ Convert the number to it binary representation using minimum number of

bits. Make sure to show your work for full credit

$($b$)(1$ points$)$ Give the binary representation of the same number but now using $16$ bits.

$($c$)(1$ points$)$ Repeat problem $2$ b but now for the negative version of the number $($i$.$e$.$

$-329).$ Use $2\text{'}$s complement representation.