> I always assumed the digital box did the conversion?
The digital box DOES do the conversion, but it converts the DIGITAL freeview signal that is sent out to ANALOGUE so the TV can display it.
In your question you say "the analogue signal from freeview" but that is the whole point, the freeview signal is SENT OUT as digital and received by your aerial as digital.
But because most TVs are analogue you need a box to convert the digital signal to analogue so the TV can display it.