Scenario:

Imagine you are working as an intern at a tech company specializing in electronic devices. As part of your training, you have been given the task of designing a simple electronic security system for a smart home using combinational circuits. The security system should be able to control access to different rooms in the house and allow authorized users to enter using a code or keycard.$$

Assignment:

$1.$ Compose a design for the electronic security system using logic gates, multiplexers, decoders, and encoders.$$

$2.$ Explain how each component will be incorporated and how they will work together to achieve the desired functionality.$$

$3.$ Enhance your design by summarizing how you could integrate a demultiplexor into the system to handle multiple rooms' access control efficiently.