You are tasked with designing a $4-$bit digital combination lock system for a secure facility. The

combination is a $4-$bit binary number, and users should input their $4-$bit code using a set of four push$-$

button switches $($S$3,$ S$2,$ S$1,$ S$0).$ When the correct combination is entered, an output LED $($L$)$ should

illuminate, indicating successful entry.

Select any $4-$bit combination as the key to unlock and design a digital logic circuit for the lock system

using basic logic gates $($AND$,$ OR$,$ XOR, NOT$).$ Provide the truth table for the combination lock,

including the inputs $($S$3,$ S$2,$ S$1,$ S$0)$ and the output $($L$).$ Additionally, draw the schematic diagram

of your digital logic circuit.