Except that anything less than Base-7 does not recognize the character "6", and anything less than Base-6 does not recognize the character "5".
... in which case, obviously, the numbers can’t possibly be in those bases. If you see “7” you don’t think of binary, and you shouldn’t think of any other base less than 8 either, unless you think different bases apply to the different numbers (which contradicts the general notion of bases).