Q$.2(2$ points$)$ Obtain the $1\text{'}$s and $2\text{'}$s complements of the following binary numbers:

$($a$)00010000$

$($b$)00000000$

$($c$)11011010$

$($d$)11111111.$

Q$.3(1\mathrm{.}5$ points$)$ Perform subtraction on the given signed binary numbers using the

$2\text{'}$s complement. Indicate if there is overflow or not?

$1001-110101$

Q$.4(2$ points$)$ Design a logic diagram of the circuit that implements the expression:

$(x+y)(x+y^{\text{'}})$

Q$.5(3$ points$)$ Simplify the Boolean expression shown in $"$Q$\mathrm{.}4"$ to a minimum number

of literals. Then draw a logic diagram of the circuit that implements the simplified

expression.