Does this have a digital compass?
No, the DG03 does not have a compass, however I prefer it this way. I got a wrist mount compass for roughly $35 to go along with this and I would not go back to a digital compass, The standard compass is much more accurate and easier to use, plus I don't lose my other computer information by switching displays... Unless you're dead set on having an integrated compass this is a fantastic computer, just spend some time reading the manual before you use it in the water.
The DG03 does not have a digital compass. However, the Atomic Cobalt does, but is not an air integrated/wrist DC. My experience is that digital compasses (such as those with the Atomic Cobalt) are slow and not accurate as true magnetic compasses.