# Trit

https://arbital.com/p/trit

by Nate Soares May 28 2016 updated Jun 7 2016

Trinary digit

[summary: The trinary analog of the Bit. Depending on the context, a trit can mean any of the following things:

1. Abstract trit: one thing from a set of three
2. Trit of data: the amount of data carried by an object that can be put into three states
3. Trit of information: $\log_2(3) \approx 1.58$ Sh of information
4. Trit of evidence: $3:1$ evidence in favor of a specific hypothesis]

A trit is the trinary analog of the Bit: Where a bit says 2, a trit says 3. "Trit," like "bit," is overloaded:

• An abstract trit (analog of the abstract bit) is an element of a set with three elements. Thus, there are three abstract trits. They are often denoted 0, 1, and 2.
• A trit of data (analog of a bit of data) is the amount of data that can be carried by a physical object that can be placed in any one of three states.
• A trit of information (analog of a Shannon) is the amount of information someone receives when they start out maximally uncertain about which one of three outcomes happened, and then they learn which one happened. A trit of information is $\log_2(3)\approx 1.58$ bits of information.
• A trit of evidence (analog of a [evidence_bit bit of evidence]) in favor of a hypothesis is an observation that is three times as likely if the hypothesis is true (versus if the hypothesis is false).

"Trit" is a portmanteau of "trinary digit."