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Undecimal (also known as unodecimal, undenary, and the base 11 numeral system) is a positional numeral system that uses eleven as its base. While no known society counts by elevens, two are purported to have done so: the Māori (one of the two Polynesian peoples of New Zealand ) and the Pañgwa (a Bantu -speaking people of Tanzania ).
A base-11 number system was attributed to the Māori (New Zealand) in the 19th century [34] and the Pangwa in the 20th century. [35] Briefly proposed during the French Revolution to settle a dispute between those proposing a shift to duodecimal and those who were content with decimal. Used as a check digit in ISBN for 10-digit ISBNs ...
Unary is a bijective numeral system. However, although it has sometimes been described as "base 1", [4] it differs in some important ways from positional notations, in which the value of a digit depends on its position within a number. For instance, the unary form of a number can be exponentially longer than its representation in other bases. [5]
For example, "11" represents the number eleven in the decimal or base-10 numeral system (today, the most common system globally), the number three in the binary or base-2 numeral system (used in modern computers), and the number two in the unary numeral system (used in tallying scores). The number the numeral represents is called its value.
But if the number-base is increased to 11, say, by adding the digit "A", then the same three positions, maximized to "AAA", can represent a number as great as 1330. We could increase the number base again and assign "B" to 11, and so on (but there is also a possible encryption between number and digit in the number-digit-numeral hierarchy).
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The base can also be used to show the relationship between the side of a square to its diagonal as a square with a side length of 1 √ 2 will have a diagonal of 10 √ 2 and a square with a side length of 10 √ 2 will have a diagonal of 100 √ 2. Another use of the base is to show the silver ratio as its representation in base √ 2 is ...
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