Assume that only $6$ bits are available for representing integers, and signed integers are represented in

$2$s complement.

a$)$ What is the largest numerical value $($base $10)$ you can represent on $6$ bits in $2$s complement?

b$)$ What is the smallest numerical value $($base $10)$ you can represent on $6$ bits in $2$s complement?

c$)$ What is the smallest numerical value $($base $10)$ you can represent on $6$ bits in $1$s complement?

d$)$ How is the $($base $10$ number$)99$ represented as an eight$-$bit binary number?

e$)$ What is the representation in hexadecimal notation of $99?$

f$)$ How is $-99$ represented in $2$s complement on $8$ bits?