During a college vacation, I strolled around my old grade school. The one teacher from my era who was still there spotted me, and remembered my interest: "Would you like to sit in on a math class?" Of course I would.
The teacher was fine with that, so I sat inconspicuously in a back row seat and paid attention. He was instructing his charges in New Math--the Binary System: how to express all whole numbers using only the digits one and two.
I kept waiting for some little Karl Friedrich Gauss to ask, "Sir (yes, back then we called them "Sir" and "Ma'am"), how to you express zero?"
I held my peace and thanked him when I left. They'd figure it out when they got to M.I.T.
(I may have been careless here, but here is my quickie judgement as to his otherBinary (oB) numeration:
Base 10: 0 1 2 3 4 5 6 7 8 9 10 11 12
Ways, base oB: 0 1 1 1 1 1 1 1 1 0 0 1 1