You are asked to design a circuit using hierarchical approach to implement the following pair of Boolean equations: F=A+BC+DE G=(A + BC) E+ D (a) Write down the gate input costs (excluding inverters) of the Boolean functions F and G respectively. (2 marks) (b) Consider a single hierarchical circuit component that implements H(X,Y, Z) = X + YZ. Draw the logic circuit diagram of such hierarchical component. (3 marks) (c) Rewrite the functions F and G in a form that the hierarchical function H is used twice for each function. Put your answers in the format F = H (...) and G = H (....). (4 marks) (d) By using THREE copies of the hierarchical component in part (b) and your answers in part (c), draw the circuit to implement F and G. Use graphical symbols to represent the hierarchical component in your answer. (3 marks)