Four wifi networks, Alpha, Bravo, Charlie and Delta, all exist within close proximity to one another as shownbelow. Networks connected with an edge...

Hi, I have some question with System Modelling and Design. Can someone me? best to have a handwriting answer.

Four wifi networks, Alpha, Bravo, Charlie and Delta, all exist within close proximity to one another as shownbelow. Networks connected with an edge in the diagram above can interfere with each other. To avoid interferencenetworks can operate on one of two channels, hi and lo. Networks operating on different channels will notinterfere; and neither will networks that are not connected with an edge. Our goal is to determine (algoriti'lmically) whether there is an assignment of channels to networks sothat there is no interference To do this we will transform the problem into a problem of determining if apropositional formula can be satisfied. (a) Carefully defining the propositional variables you are using, write propositional formulas for each ofthe following requirements:(i) an: Alpha uses channel hi or channel lo; and so does Bravo, Chariie and Delta.(ii) gag: Alpha does not use both channel hi and lo; and the same for Bravo, Charlie and Delta.(iii) o3: Alpha and Bravo do not use the same channel; and the same applies for all other pairs ofnetworks connected with an edge.(b) (i) Show that an A or; A (333 is satisfiable; so the requirements can all be met. Note that it is sufficientto give a satisfying truth assignment, you do not have to list all possible combinations. (ii) Based on your answer to the previous question, which channels should each network use in orderto avoid interference? '