Please explain and help me with the following problem.

Thank you.

example of a Boolean function

There is a staircase leading to n floors, all being lit by one lamp, which is independently operated by any of n switches, which are placed one at each of the n floors.

Design a function f of the 3 switches. f represents this lamp. Find its truth table. Here is the truth table. can you explain to me the logic in how they got this truth table? How they got the values for f?

With this the question really is

Can you explain to me how to make the truth rable for n=4? Please explain this to me. thanks you

f-01-0100