Design a Combinational Circuit implementing the Boolean function specified by the following truth table considering a SOP formula of minterms:

a$)$ Write down the SOP formula of minterms.

b$)$ Draw the parse tree for the formula in a$).$

c$)$ Draw the combinational circuit created from the parse tree in b$).$

d$)$ Specify the netlist for the combinational circuit in c$)$ in textual form.

e$)$ Determine the fan$-$out for each of the nets in your netlist.

f$)$ Indicate all critical paths in the circuit and explain why these are all.

g$)$ Calculate the Cost of the circuit using Motorola technology.