This was posted a few years ago on my previous blog (which I abandoned). I updated it slightly:

I was recently reading a book on binary logic circuits, and I got an
idea. Since electronic charges can be positive or negative, why not make
a logic system with three values: positive charge, negative charge, and
no charge. I invented a system of "trinary" logic which uses these
three values. I don't know if it could be implemented in hardware, but I
know it could be easily implemented in software.

The rules of trinary logic are:

The + and * functions represent addition and multiplication as in normal math, but 1 + 1 = -1 and -1 + -1 = 1

This means that and number plus itself is the opposite of itself:

0 + 0 = 0 * -1 = 0

1 + 1 = 1 * -1 = -1

-1 + -1 = -1 * -1 = 1

This makes trinary logic useful in constructing cryptographic systems (systems of codes)

I recommend that the negative symbol (-) be used to represent -1 because -1
is the only negative value in trinary. Similarly, you can substitute
"neg" for -1 while speaking.

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