Question $7$: $(20$ points$)$

Solve the following problems for binary representations.

$(10$ points$)$ Consider the two decimal numbers: $-64$ and $-66.$ Using the $2$s complement system and $8-$bit words, carry out the operation $-64-66.$ What do you conclude? What is the minimum number of bits required for carrying out this operation properly?

$(10$ points$)$ Express $-87\mathrm{.}5\backslash$times $10^(-131)$ in IEEE $754$ single precision format.