Question $3$

$($a$)$ Subtract ${179}_{10}$ from ${88}_{10}$ using $10-$bit $2\text{'}$s complement form and state the answer in

hexadecimal.

$(10$ marks$)$

$($b$)$ For each of the following expressions, construct the corresponding logic circuit by

using combination AND, OR and INVERTER gates only.

i$.w\frac{?}{b}=ar(A+B)$

$(5$ marks$)$

ii$.x\frac{?}{b}=ar(AB+CD)$

$(5$ marks$)$

iii. $y\frac{?}{b}=ar(A)BC$

$(5$ marks$)$

$($Total: $25$ marks$)$