Who invented the binary decimal system?

I don't believe anyone suggested it, certainly no-one that could be named at least. Long before we had digital computers we had machines that were fully capable of processing binary information. The Jacquard loom is a prime example which pre-dates Charles Babbage's early computer designs. Although Babbage dabbled with decimal machines, even he saw the benefits of using binary; by far the simplest method of implementing a numeric system at the machine level.