write a truth table for the fallowing: I

in a hospital room, there are four doors, each equipped with a light switch, and three white$-$ and one yellow$-$colored lights.

The task is to design a digital logic circuit that allows any of the four light switches to control the state of the white lights.

This means that regardless of which switch is used, it should be possible to turn all the white lights on or off. The state of

the yellow light will be on if only two light switches are turned on$.$ Additionally, the room features a display screen with

three LEDs that indicate how many of the switches are in the $"$on$"$ position. For example, if two switches are turned on$,$ the

LED display should show the $"010"$ state. Therefore, this project challenges students to apply their knowledge of digital logic

concepts to create a practical and functional system. It encourages critical thinking and problem$-$solving while providing

hands$-$on experience with digital logic components.

write a truth table for this problem