Get a plastic bag and an elastic band, put the bag over the camera and gather it around the lens so the optic isnt covered, fasten in place with elastic band. This will keep snow/rain off the camera body and help protect it.
In extreme cold weather keep camera inside your coat when not in use so it doesnt get too cold, which can cause battery failure.
But what about it fogging up from going from warm-cold
Or condensation? After my recent trek in the forest in freezing conditions, I returned to my car and took my phone out to find it drenched in what I presume is condensation, or possibly sweat, though it was no where near my pits :|