Bongo's pretty right in that chipcorder tech, and BBDs, are not strictly analog in that they are quantized in the time axis. But the samples that are taken are stored as continuously variable analog voltages, not quantized into digital bits, so they aren't ever 1s and 0s.
Once you start reading about quantum mechanics you will find that, in point of fact even "analog" continuously varying signal are quantized in amplitude once you look really close.

So in a sense (and not one that needs to be taken very seriously) analog is just really high resolution digital.
But anybody who has played with an analog looper will know that none of the commercial digital loopers available can sound like answering machine technology, and a lot of people really like that sound (myself included). A lot of people don't, or are looking for features that chipcorders can't do - and that's cool too.
