Question $5[10$ marks$]$

For a Half Adder and a Full Adder.

i$.$ Tabulate the truth table for a $2-$input Half Adder and $3-$input Full Adder with the third

input as $$Cin$.$

$[3$ marks$]$

ii$.$ Write the expression of Cout and Sum for a Half Adder.

$[2$ marks$]$

iii. Justify the output when two Half Adder is used to implement a full adder by means of

circuit diagrams and expressions of Cout and Sum with all inputs and outputs labelled.

$[5$ marks$]$