The point about a modem, in the literal sense, is that it turns the 1s and 0sI'm not sure I'd agree with this.
ADSL and dialup have a lot of similarities.
On dialup, 33K (or less) modems could be connected straight though
the analog telephone network. Even if the telephone company
equipment happened to be digital, all it needed to emulate
was 4KHz of analog bandwidth (8KHz Nyquist sampling).
of a digital signal into audible tones, sends them down the line, and they are
converted back into 1s and 0s at the other end.
An ADSL router does not.