a. Consider the following Boolean equation Y=(A+B+C)+(A+B) (A + C) Implement the equation using 3/8 binary decoder. (8marks) b. A 2x1 MUX has the line inputs Io and I, and an output Y. It has a single select line S. Give the Boolean equation of the output Y and then implement the multiplexer using INV-AND-OR configuration (4marks) A one-bit arithmetic adder has the input bits A and B, and a carry-in bit Co. The output is the Sum S, and the carry-out bit C i. ii. Give the truth table of the adder (2marks) Implement the adder using XOR gates and other logic gates of your choice (6marks)