Can a Nikor Film lens work on a Nikon DSLR?

Hello,

For a while now I have only been playing with digital point and shoot
cameras.  I would like to get back to using the SLR camera.

I have a Nikon 6006 AF camera which was purchased in early 90's.  I
purchased several lenses for the camera.  The best of those lenses is
the Nikon ED AF Nikkor 80-200 F/2.8.  Will this lens work on a Nikon DSLR?

If it does not work with the newer cameras, then what is a good asking
price to sell this lens?

Thank you in advance for any information or advice.

NJ