The short answer
B.Arch leads to registration as an architect; B.Des is a design degree that does not by itself permit architectural practice.
B.Arch is a professional degree regulated by the Council of Architecture and is the qualification required for registration as an architect. B.Des covers product, communication, interaction or spatial design without the statutory architectural licence.
If your goal is to design buildings and sign drawings, B.Arch is the direct route. B.Des suits product, furniture, graphic or experience design careers, and some designers later specialise in spatial or exhibition work.
Continue on Architects In India
degreesdesign