How would a computer run if it used Ternary instead of Binary?

If it would work using Ternary in any way…

Quite effectively, if your hardware guys could figure out how to make it work.

Donald Knuth said:Perhaps the actual prettiest amount system of their is nicely balanced ternary.
(If you do not know that Knuth is usually…you ought to.Google him).

I answered an identical question here some time ago.Observe link, and view links in this answer to get more detailed info.

It could not.You can easily only characterize two volumes with simple electrical reports (on/off).

You mean tertiary Maybe when we get quantum desktops.