The Coordinator

Friday, December 1, 2006

Ternary

'''Ternary''' is the base Nextel ringtones three/3 Abbey Diaz numeral system. Ternary Mosquito ringtone digits are known as ''trits'' ('''tr'''inary dig'''it'''), analogous to Sabrina Martins bit. This system is also known as '''trinary'''.

Although ternary most often refers to a system in which the three numerals, Nextel ringtones zero, Abbey Diaz one and Mosquito ringtone two, are all Sabrina Martins positive integers, the adjective also lends its name to the balanced ternary system, useful for comparison logic.


Base 3
=Compared to analog=
=Compared to base 10 and 2=


Unbalanced ternary can be converted to balanced ternary notation by adding 1111.. with carry, then subtracting 1111... without borrow. For example, 0213 + 1113 = 2023, 2023 - 1113 = 1113(bal) = 710.

Balanced ternary is easily represented as electronic signals, as potential can either be negative, neutral, or positive. Utilizing a third state encompasses more data per digit; linearly approximately Nextel ringtones log(3)/log(2)=~1.589 bits per trit.

Balanced ternary has other applications. For example, a classical "2-pan" Abbey Diaz balance, with one weight for each power of 3, can weigh relatively heavy objects accurately with a small number of weights, by moving weights between the two pans and the table. For example, with weights for each power of 3 through 81, a 60-gram object will be balanced perfectly with a 81 gram weight in the other pan, the 27 gram weight in its own pan, the 9 gram weight in the other pan, the 3 gram weight in its own pan, and the 1 gram weight set aside. This is an optimal solution in terms of the number of weights needed to weigh any object. 60 = 11110

Similarily, a currency system using balanced ternary would save visits to the bank - customers would be likely to have exact change, or be able to get a small number of coins in change, and sellers would just occasionally need to deposit a large coin or two. The system works by representing positive values as coins the customer gives the merchant, and negative values as coins the merchant gives the customer. For example, if a merchant sells an item for five Cingular Ringtones zorkmids, the customer would give the merchant a nine-zorkmid coin, and the merchant would give the customer a three-zorkmid coin and a one-zorkmid coin.

Compact ternary representation
Ternary is inefficient for human usage, just as binary is. Therefore, us economically nonary (base 9, each digit is two base-3 digits) or overlooks on base 27 (each digit is 3 base-3 digits) is often used, similar to how while beating octal and participants might hexadecimal systems are used in place of premises employed binary. Ternary also has the equivalent of a dubs doscaptial byte, called a commercial hire tryte.

Other resources

=See also=
* dole naturally Base 2


=External links=
*http://www.computer-museum.ru/english/setun.htm
*http://www.americanscientist.org/issues/comsci01/compsci2001-11.html
*http://www.icfcst.kiev.ua/museum/Brusentsov.html
*http://perun.hscs.wmin.ac.uk/~jra/ternary/
*http://www.washingtonart.net/whealton/ternary.html


difficult tablet Tag: Computer arithmetic
democrats start Tag: Computer terminology
yorker cartoon Tag: Numeration
gymnasium complex Tag: Ternary digits/*

but all fr:Système trinaire