Complete the following binary conversions and show your work. Use $8$ bits to represent binary values.

Convert $(36{)}_{10}$ to $2\text{'}$s complement binary.

Convert $(-20{)}_{10}$ to $2\text{'}$s complement binary.

To find a negative number $n,$ first convert the absolute value of $n$ to binary and then determine the $2\text{'}$s complement.

Let $A=(10011001{)}_2.$ What decimal value does A represent if $A$ is unsigned?

Let $A=(10011001{)}_2.$ What decimal value does A represent if $A$ is a $1\text{'}$s complement number?

Let $A=(10011001{)}_2.$ What decimal value does A represent if A is a $2\text{'}$s complement number?