2. Consider the logic function f(a,b.c) - abc + ab'c + a'bc + a'b'c + a'b'c'. (a) (15 points) Draw the logic circuit for the function f given above (b) (3 points) Let the cost of a logic circuit be the total number of gates plus the total number of inputs to all gates in the circuit. (See page 49-50 of textbook for examples.) What is the cost of the circuit in part (a)? (c) (10 points) Simplify f by Boolean algebra as much as possible. (d) (5 points) Draw the logic circuit for the simplified version of f in part (c). (e) (2 points) What is the cost of the circuit in part (d)