(a) Explain the following with relevant examples. (1) Functionally complete set (of logic gates), (3/100) (ii) Sequential circuits. (3/100) (b) Simplify the following expression using Boolean algebra: F = XY + XYZ. (7/100) (c) In a minority function, the output is 1 if the input variables have more Os than 1s. The output is 0 otherwise. (i) Show the truth table of the function with four input variables. (2/100) (ii) From the truth table in 2(c)(i), state the Boolean expression for the minority function in canonical sum-of-products form. Then, simplify the Boolean expression using Karnaugh map. (4/100) Construct an 8-to-1 multiplexor using four 2-to-1 multiplexors and one 4-to-1 multiplexor. Draw the block diagram of the complete circuit and explain its operation (6/100)