Question 3. (25 points) Half Adder(HA) : Cout = ab s=a,b + ab, Full Adder(FA) : Cout = ab + bc in + ac in a,b,cin + a,bc in, + s a) prove the implementation of a full adder in terms of two half adders as shown below. may need to use boolean algebra to introduce redundancy to the full adder Hint: you Cout boolean equation. Half adder A B A B CIn Full adder HA HA S Cout S Cout Cout =AB+BC + AC