Here’s another neat one: 1010 / 101 = 10

Thanks for the explanation! I’ve only been doing digital logic since 1976 so I’m still a bit confused by it.

There are 10 types of people in the world: those that understand n-ary, those that confuse it with (n-1)-ary, those that confuse it with (n-2)-ary, …, those that confuse it with ternary, those that confuse it with binary, and those that don’t understand it at all.

You’re not overthinking it at all and have hit upon an important point. The problem with “ten” is that it’s too easily confused with 1010_2 or 0x0A_16. One-zero base 2 is unambiguous. Also one, ten, eleven etc would get very unwieldy very quickly, and as it already gets unwieldy very quickly even when just quoting digits, that’s why we have hex and octal.

Both work because the scale is 1-10. Binary just has fewer intermediate steps. Nobody is a binary 7.