a) Implement a function F whose inputs are A, B and C, such that the value of the output F is 1 if and only if an odd number of inputs (i.e., one or three inputs) is 1. Your solution should follow steps as: (i) first draw a truth table, (ii) formulate the table into a Boolean expression (Do NOT simplify your expression), and (iii) finally, draw a logic gates diagram with inverters, AND gates, OR gates, NAND and NOR only. Each gate in your circuit can have one or more inputs as you design. (5 pts) b) Simplify the expression in a) and redraw the circuit. (3pts)