The odd thing about tapes is that they can be used to store digital information. I have run into two examples of this so far:
1. Myself and others recently filmed (not quite a digital-sounding term, I know, but I believe it is still used regardless) a little promotional video with a sweet Sony digital, high-definition camera. The recorded information, though digital, was stored on a tape until we ran it through a FireWire cable and into my computer. (Once I complete editing, I may upload and post a link to the video in the LizCam thread.)
2. My older brother works with the world's most powerful supercomputer at a government laboratory in Livermore, CA. That system has I don't know how many terabytes of storage capacity, most or all of which is comprised of tapes that robot arms move back and forth between the supercomputer and places where the tapes are kept when not in use.