ADSL on your the copper line is both analog and digital depending on how you look at it. It is like a large number of digital modems working side by side modulating a waveform that is highly intricate, and at the decoding end, analog processing techniques are used to recover the data before digital techniques take over.
Think about an audio CD. The data recorded on there is digital, but in the case of a classical recording, the actual original data is analog (the pair of microphones' output) but converted to digital format, however it remains true that it is something analog that is being represented, and this will always be true for acoustic music because air pressure is an analog quantity.
So the point is it better to talk about how information is being dealt with 'digital processing' / 'analog processing' and the inherent underlying thing that is being represented, rather than talking about whether a thing 'is' analog or digital,