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.
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 unacceptableF# 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
