When replacing the battery, does the computer have to be reprogrammed?

In my experience, most BMWs require certain settings to be reset by a diagnostic tool after a battery is replaced. I would recommend consulting a local repair shop who specializes in BMW repair to find out for sure. It's possible that a 1996 model year will not require this kind of software work. Use this link to find some shops near you that can help with your concern: www.repairpal.com/repair-shops