If adding baseboards after carpet is laid it should be installed at the same height as without carpet.
Adding to bottom of baseboards on carpet.
If you are not intending to install quarter round or base shoe the baseboard should be.
Carpet installers often tuck the ends of the carpet under the baseboards for a clean finished look.
Look at the new smart strands.
Installing a baseboard trim around carpet areas adds a fancy edge to the room helping to make the carpet part of the room.
Or perhaps adding a flat strip of molding in between the bottom and the top molding pieces.
But mind the gap that some builders forget where the suspended baseboard becomes a crumb catcher or the bottom of baseboard is visible if next carpet has thinner pad or pile.
Very soft stain resistant and wear resistant.
Then just fill all the cracks with caulk.
If you choose to replace your baseboards or add shoe molding you may wish to contact a professional for this work if you are unsure of your carpentry skills.
If you choose to go the route of caulking the baseboards this is wholly a do it yourself job easily and quickly accomplished.
The floors are higher than the carpet so the bottom of the base was way down under the flooring.
Once the carpet and the baseboards are in place you can tuck the edges of the carpet under the baseboard to give the room a finished appearance.
Link the wall to the floor with h.
If you plan to install baseboard moulding before adding carpet it needs to be installed 1 inch above floor level to allow room for both pad and carpet.
Many builders do not install flush to the floor compensating for height of carpet.
So after the floors were laid it was going to be impossible to get the old out.
But depending on the cost of molding it may just be more cost effective to trade out the old baseboards with new and taller ones.