Wow.. I'm surprised a lot of people don't think knowing how to read/follow and understand the meaning of the tables is important.
I know it's very convenient to be able to follow a computers directions with respect to NDL times and surface intervals, but a full understanding of the concept is something I think every diver should know and understand.
A computer is there for convenience, but if you're on a trip with strangers and you loose it, drop it, break it or it runs out of batteries while you're on the boat, and you want to keep diving, who are you going to trust? I would only trust my own brain, and table at that point. I've seen way too many cowboy divemasters down south. Everything is "OK" "don't worry man" with them.
Always carry a table with you, know how to use it, and compare it with your computer when you're diving (especially at the beginning) to understand the limitations of both.
If your instructor didn't cover them in enough detail that makes you comfortable using it when you dive next (if you didn't have a computer) call your dive shop and have them explain it to you, or find videos or other materials that will help you understand them fully.
My 2 cents.