A bank has $4$ locks with a key for each lock. Each key is owned by a different person $($A$,$ B$,$ C$,$ D$).$ In order to open the vault door at least two people must insert their keys into the assigned locks at the same time. The manager $($A$)$ can open the lock alone. The signal lines $($A$,$ B$,$ C$,$ D$)$ are $1$ if the key is inserted into locks $1,2,3,4$ respectively.i$.$ From the truth table, identify the minterms for the digital locking system.$[2$ Marks$]$ii$.$ If the circuit is implemented using a $4$x$1$Multiplexer with A and C as the select lines, what will be the data inputs connected to the multiplexer. Write the data inputs connected to the multiplexer in order.$[4$ Marks$]$iii$.$ Write the Behavioural Verilog code for part $($ii$).$