Consider an $8$x$8$ Banyan network, two cells enter the switch and are to be switched during the same switching cycle.a$)[4$ marks$]$ Draw an $8$x$8$ Banyan network.b$)[4$ marks$]$ Determine the probability that there will be blocking if the output destinations are randomly selected from the $8$ outputs with each output being equally likely, assuming thatThe two cells arrive at inputs $4$ and $5.)$The two cells arrive at any two inputs.c$)[4$ marks$]$ Assume now that the two cells come into the switch destined for outputs $4$ and $5.$Determine the probability, across all possible input combinations for the $2$ cells, that there will be blocking.