please show work.

Review Question 1 Implement the following gates: (a) Implement a two-input XOR gate using two-input NAND gates and inverters. (b) Implement a two-input AND gate using two-input XNOR gates and inverters. Review Question 3 Simplify the equation below: eut=(A+C)(A+C)(A+B+C) Review Question 4 Obtain the SOP and POS expressions for the following function: out=(ABB+C)(B+AC) Review Question 5 Implement the following function using NAND gates and inverters: out=AC+B+B+AB.D Review Question 6 Implement the following function using NOR gates and inverters: out=(A@B)(CDD) Review Question 7 Implement the following 21 multiplexer using AND and OR gates: Note that the function of this complex gate must produce the following: If En=1 then out =A else ( when En=0 ) out =B. Supplementary Question 4 What is the reduced (minimized) Sum of Products (SOP) form of the OUT function whose truth table is given below? Supplementary Question 5 What is the Product of Sums (POS) form of the OUT function whose truth table is given below (do NOT reduce)? Supplementary Question 7 What is the minimized Sum of Products (SOP) expression for OUT from the truth table below? Supplementary Question 8 What is the minimized Product of Sums (POS) expression from the Kamaugh map below