Draw the finite state machine diagram for a UP and DOWN counter that will handle values in the range from $4$ to $8.$ An external push$-$button $($interrupt driven$)$ will define the direction of the counter i$.$e$.$ up for LOW logic and down for HIGH Logic. Your answer should contain a table to define the relationship among states and logic status of the push button and relating state machine diagram.

$(15$ marks$)$

$($b$)$ Write an Arduino compatible program for the MKR$1000$ board which should

define the operation of Q$5($a$).$