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Analogous to a bit , a ternary digit is a trit tri nary dig it. One trit is equivalent to log 2 3 about 1. Representations of integer numbers in ternary do not get uncomfortably lengthy as quickly as in binary. For example, decimal or senary corresponds to binary nine digits and to ternary six digits. However, they are still far less compact than the corresponding representations in bases such as decimal see below for a compact way to codify ternary using nonary and septemvigesimal. Nonary base 9, each digit is two ternary digits or septemvigesimal base 27, each digit is three ternary digits can be used for compact representation of ternary, similar to how octal and hexadecimal systems are used in place of binary. In certain analog logic, the state of the circuit is often expressed ternary. This is most commonly seen in CMOS circuits, and also in transistortransistor logic with totem-pole output. The output is said to either be low grounded , high, or open high- Z. In this configuration the output of the circuit is actually not connected to any voltage reference at all. Where the signal is usually grounded to a certain reference, or at a certain voltage level, the state is said to be high impedance because it is open and serves its own reference. Thus, the actual voltage level is sometimes unpredictable. A rare ternary point in common use is for defensive statistics in American baseball usually just for pitchers , to denote fractional parts of an inning. Since the team on offense is allowed three outs , each out is considered one third of a defensive inning and is denoted as. For example, if a player pitched all of the 4th, 5th and 6th innings, plus achieving 2 outs in the 7th inning, his innings pitched column for that game would be listed as 3. In this usage, only the fractional part of the number is written in ternary form. Ternary numbers can be used to convey selfsimilar structures like the Sierpinski triangle or the Cantor set conveniently. Additionally, it turns out that the ternary representation is useful for defining the Cantor set and related point sets, because of the way the Cantor set is constructed. The Cantor set consists of the points from 0 to 1 that have a ternary expression that does not contain any instance of the digit 1. For example 0. Ternary is the integer base with the lowest radix economy , followed closely by binary and quaternary. This is due to its proximity to e. It has been used for some computing systems because of this efficiency. It is also used to represent three-option trees , such as phone menu systems, which allow a simple path to any branch. A form of redundant binary representation called a binary signed-digit number system, a form of signed-digit representation , is sometimes used in low-level software and hardware to accomplish fast addition of integers because it can eliminate carries. Simulation of ternary computers using binary computers, or interfacing between ternary and binary computers, can involve use of binary-coded ternary BCT numbers, with two bits used to encode each trit. If the trit values 0, 1 and 2 are encoded 00, 01 and 10, conversion in either direction between binary-coded ternary and binary can be done in logarithmic time. Some ternary computers such as the Setun defined a tryte to be six trits 10 or approximately 9. From Wikipedia, the free encyclopedia. Numeral system with three as its base. Bless You Boys. Retrieved Rose Hulman Undergraduate Mathematics Journal. Paper 9. American Journal of Undergraduate Research. CiteSeerX C 2 ISBN June Data types. Address physical virtual Reference. Character String null-terminated. Categories Computer arithmetic Positional numeral systems Ternary computers. Hidden categories Articles with short description Short description is different from Wikidata Use dmy dates from May Namespaces Article Talk. Views Read Edit View history. Help Learn to edit Community portal Recent changes Upload file. Download as PDF Printable version. Wikimedia Commons. List of numeral systems.
Miamis independent source of local news and culture. Pajot October 7, PM. As the year loomed and the entire world panicked under threat of complete computer apocalypse, i. This was the unofficial birth of the Trinumeral Festival , a yearly celebration of that date when the day, month, and year align in an auspicious numeric sameness. By phone, Crossfade discussed weird noise and numerology with Trinumeral organizer Grant Howl. We needed to understand the phenomenon. Full text. Join the New Times community and help support independent local journalism in Miami. Get the latest updates in news, food, music and culture, and receive special offers direct to your inbox. Support Us Miamis independent source of local news and culture. I support. Support the independent voice of Miami and help keep the future of New Times free. Support Us. Keep New Times Free.