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In this usage, only the fractional part of the number is written in ternary form. [2] [3] Ternary numbers can be used to convey self-similar 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 ...
Balanced ternary is a ternary numeral system (i.e. base 3 with three digits) that uses a balanced signed-digit representation of the integers in which the digits have the values −1, 0, and 1. This stands in contrast to the standard (unbalanced) ternary system, in which digits have values 0, 1 and 2.
In some systems, while the base is a positive integer, negative digits are allowed. Non-adjacent form is a particular system where the base is b = 2.In the balanced ternary system, the base is b = 3, and the numerals have the values −1, 0 and +1 (rather than 0, 1 and 2 as in the standard ternary system, or 1, 2 and 3 as in the bijective ternary system).
If the integers can be represented by the Kleene plus +, then the set of all signed-digit representations of the real numbers is given by = +, the Cartesian product of the Kleene plus +, the set of all finite concatenated strings of digits … with at least one digit, the singleton consisting of the radix point (. or ,), and the Cantor space ...
Ternary: The base-three numeral system with 0, 1, and 2 as digits. Quaternary: The base-four numeral system with 0, 1, 2, and 3 as digits. Hexadecimal: Base 16, widely used by computer system designers and programmers, as it provides a more human-friendly representation of binary-coded values.
As with bivalent logic, truth values in ternary logic may be represented numerically using various representations of the ternary numeral system. A few of the more common examples are: in balanced ternary, each digit has one of 3 values: −1, 0, or +1; these values may also be simplified to −, 0, +, respectively; [15]
Like sign–magnitude representation, ones' complement has two representations of 0: 00000000 (+0) and 11111111 . [7] As an example, the ones' complement form of 00101011 (43 10) becomes 11010100 (−43 10). The range of signed numbers using ones' complement is represented by −(2 N−1 − 1) to (2 N−1 − 1) and ±0.
Ternary signal, a signal that can assume three significant values; Ternary computer, a computer using a ternary numeral system; Ternary tree, a tree data structure in computer science Ternary search tree, a ternary (three-way) tree data structure of strings; Ternary search, a computer science technique for finding the minimum or maximum of a ...