Consider the logic function f(a,b,c) = abc + ab'c + a'bc + a'b'c + a'bc'. (a) Draw the logic circuit for the function f given above. (b) 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.What is the cost of the circuit in (a)? (c) Simplify f by Boolean algebra as much as possible. (d) Draw the logic circuit for the simplified version of f in (c). (e) What is the cost of the circuit in (d)?