No problem.

There was another assumption many times ago that digital signal could only be presented by two voltage levels 0 and 1. If we pass such signal directly to the modulator, we would say "this is a digital modem" - right?
What was true in the case of RS232 serial communication is not true in modern equipment. By example transmission over Ethernet wire is coded in multiple voltage levels. In result Fast Ethernet (100Mb/s) by example is clocked not 100MHz, but around 30MHz. I don't recall exact number, is not an issue. Point is that if we use more quantisation levels, separation between digital and analog signal becomes blured.
What is more important that if we analize signal coming to/from modulator, we will find that there is
absolutely not possible to recognise whether it is analog transmission or digital. It looks like a white noise (analog). Interesting fact that any modern transmission system these days is digital, but transmitted signal doesn't look digital anymore