You should have around 14v with the car on ("ready to run" mode). At this time the DC-DC convertor is charging the 12v battery as well as supplying the cars 12v loads. You may indeed need a new battery (maybe it has a shorted cell?) but after putting one in, make sure the DC-DC converter is working properly so the new battery stays charged. (And make sure the 12v battery age parameter is reset to zero.)