Someone else who knows how to finger count in base-12 and binary!
I think the binary one I learned as a joke, show someone they are number four.
The base-12 was an explanation for how the ancient Sumerians finger counted, using the other hand’s fingers for groups of 12, leading to base 60 (5×12).
I have the same problem with binary counting practically though, and using a modified Sumerian system (both hands to 12) gets you to 144, which is plenty for anything where finger counting is actually useful.
One other thing, I use the finger bones rather than the knuckles, little easier but same idea.
Some might say it’s giving finger counting too much thought, others might say it’s a tangent too serious for dad jokes, I say… the efficiency gains seem to come from a change in technique for how a count is stored.
Base-10 finger counting technique just accumulates, the number of fingers held up is the count.
Base-12 uses a pointer (your thumb) to point to a value (a knuckles or finger segment).
Base-2 uses a finger up or down to show a place value as one or zero.
You could tattoo numbers on your forearm so all five fingers from your other hand could point to a value for up to five more places to point.