(Solved): A bank's vault has 4 keys which share the same lock system. In order to open the lock, each key has ...

A bank's vault has 4 keys which share the same lock system. In order to open the lock, each key has a designated ID. Key-1 with ID-1, key-2 with ID-2, key-3 with ID3 , and Key-4 with ID-4. The lock opens if ID-3 or both ID-4 and ID-2 or ID-1 and ID2 is provided into the system. Your job is to design the system. a. Draw the truth table of this system with output $Z$ b. Use the truth table to form standard SOP and POS expressions c. Minimize the SOP and POS expression suing K-Map d. Draw the simplifies logic circuits