pls use the equations in q.3 to do 4 & 5.

Thank you!!

(10 pts) 3. Convert the following sum of products Boolean expressions in product of sums form using only Boolean Theorems (No truth table approach). Show all steps. (a) a'b + a'c' + abc (b) BC' + AB + ACD + BD (10 pts) 4. Implement the sum of products functions in Problem 3 using only NAND gates. Show all your steps (10 pts) 5. Implement the sum of products functions in Problem 3 using only NOR gates. Show all your steps