Does a computer based on trits (instead of bits) exist?
Could one, in principle, build a computer that stores information (at the hardware level) not as binary, but as ternary numbers? For example, one could use mechanical components (e.g., levers) with three states as physical trit storage, and to transmit trits, one could work with three different current strengths, representing the three possible trit states (0, 1, 2).
If so, does one already exist?
It doesn’t matter, it’s too complicated than electronics. The basics of logic form the gates. And they are very simple in TTL (Transistor-Transistor-Logik), see https://de.wikipedia.org/wiki/Transistor-Transistor-Logik. With trivalent logic, everything becomes much more complicated.
What’s up, are completely analog computers: https://de.wikipedia.org/wiki/analog calculator
Yes, of course that would go. But it would be too complicated in most applications. Your example of a lever is a possibility, for example.
At the moment, it is electronically simplified: voltage is applied, then 1, no voltage is applied, then 0. This is easy to implement.
If you then want to have a trit in electronics, you probably wouldn’t have to take a voltage for 0, a low voltage for 1 and a higher one for 2.
Clear https://de.wikipedia.org/wiki/Tern%C3%A4rer_Computer
Quantum computers
yes already exists