You need to design the circuit for a vending machine. It has the following properties:

$1.$ On a given clock tick, either no coin has been inserted, a nickel has been inserted, or a dime has been inserted. You will never have a nickel and dime inserted during the same clock cycle.

$2.$ When the total value inserted reaches $20$ cents during a clock cycle, the machine will immediately vend a drink. On the next clock tick, the machine should reset to $0$ cents.

$3.$ If more than $20$ cents has been inserted, the machine should produce change with the drink.

$4.$ The vending machine should indicate how much change has been inserted by using two hexdisplays, one for the ones place and one for the tens place $($i$.$e$.,$ show the decimal, not hexadecimal value$).$

$5.$ Your circuit should indicate a drink has been vended or change has been given using LEDs.