The Ternary logic reference article from the English Wikipedia on 24-Jul-2004
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Ternary logic

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Ternary logic is a multi-valued logic in which there are three states, thus the ternary numeral system is used to represent ternary logic equations. This article is a work in progress.

Table of contents
1 Base 3
2 Trits, tribbles, and trytes
3 Basic Ternary Algebra: Unary Functions
4 Binary functions
5 Advanced functions
6 Implementation
7 Magnetism
8 Electromechanical relays
9 Rapid single flux quantum
10 Rectifiers
11 External links

Base 3

Compared to analog

Compared to base 10 and 2

Compared to base e

Base 9 and 27

Trits, tribbles, and trytes

Basic Ternary Algebra: Unary Functions

Constant functions

000 clear to 0
111 clear to 1
222 clear to 2

One-to-one functions

The symbols here need to be TeXified; font face Symbol is unacceptable

F#  Name    Diff:012 Inverse   Expression
012 buffer       '''  012      A    A
021 swap 1/2     '/\\  021      ['A  ÈA
102 swap 0/1     /\\'  102      ]'A  ÇA
120 rotate up    ///  201      ]A   ÇA
201 rotate down  \\\\\\  120      [A   ÈA
210 swap 0/2     \\'/  210      'A   A, or A'

Many-to-one functions

F#  ITE  Expression
001 210 \\A     æA            Shift Down
002 220 ]/'A   ÇäA
010 100 \\]A    æÇA
011 001 \\/A    æäA
020 120 ]/['A  ÇäÈA
022 002 [\\'A   ÈæA
100 010 \\'A    æA
101 101 [/['A  ÈäÈA
110 210 [/'A   ÈäA
112 221 /\\A    äæA
121 121 ]\\]A   ÇæÇA
122 012 /A     äA            Shift Up
200 020 ]/A    ÇäA
202 102 [\\]A   龂A
211 021 ]\\'A   ÇæA
212 112 /['A   äÈA
220 202 [\\A    ÈæA
221 212 /'A    äA

Binary functions

Commutativity

Preference functions

Tritmasks

Named functions

Advanced functions

Unbalanced arithmetic

Negation: 3's complement

Addition / subtraction

Balanced arithmetic

Negation: inversion

Addition / subtraction

Unknown-state logic

NOT: inversion

AND, XOR, OR, XNOR, NAND

Implementation

Existing computers

Magnetism

Electromechanical relays

Rapid single flux quantum

Rectifiers

External links

See also: Digital circuit