Question $2$

$($a$)$ By using $8-$bit $1\text{'}$s complement form, subtract $2010$ from ${25}_{10}$ and show the

answer in hexadecimal.

$(5$ marks$)$

$($b$)$ Using $8-$bit $2\text{'}$s complement form, subtract $2010$ from $2510$ and state the answer

in hexadecimal.

$(5$ marks$)$

$($c$)$ Figure Q$2($c$)$ shows a combinational logic gate.

$($i$)$ List the types of gates used in this circuit.

$($ii$)$ State the number of input and output variables in this circuit.

$($iii$)$ Show the Boolean equation for $x($output$)$ in terms of $A,B,$ and $C$ for

the circuit in Figure Q$2($c$).$

$($iv$)$ Construct a truth table for the circuit in Figure Q$2($c$).$

Note: A term is MSB and C term is LSB$.$