This depends on what you term as digi.
If digi is freeview, you will need a terrestrial aerial, and as your in flats, it would depend on how that is supplied to you.
If digi is Sky then you might be able to use some kind of splitter, or some dishes have multiple outputs from one LNB. Splitter might not be a good idea as you will halve the signal strength going between the dish and the box, so you might need some kind of booster as well.
If digi is Virgin Media then you will still need a cable to your property.
Gerald Morgan
http://www.freesat-box.com