However, it does become harder to keep track of what values all of the letters map to. 2,048 in duotrigesimal => 200 2 x 1024 = 2048 0 x 32 = 0 + 0 x 1 = 0 - 2048ĭoubling the base from hexadecimal makes it even more compact. (32) 1 2 3 4 5 6 7 8 9 A B C D E F G H I J K L M N. (27) 1 2 3 4 5 6 7 8 9 A B C D E F G H I J K L M N. Septavigesimal can be used as a compact representation of ternary (3) and nonary (9). These counting systems are interesting in that they operate in a similar way to finger counting, just with a lot more body parts! Including arms, elbows, wrists, neck, ears, eyes and nose in addition to all the fingers. Languages in use: Oksapmin (Papua New Guinea) and Telefol (Papua New Guinea) (26) X Y Z AA AB AC AD AE AF AG AH AI AJ AK AL AM AN AO AP AQ. (26) A B C D E F G H I J K L M N O P Q R S T U V W. The most common scenario where you actually see bijective base-26 is the numbering of columns in spreadsheet software. So in practical terms you can take bijective to mean a numeral system with no symbol for zero. The decimal system is not bijective, since you can lead numbers with any number of zeroes (or trailing, after a decimal point) without changing the value of the number. Bijective means essentially that every integer has only one possible way it can be represented by a set of digits. 2,048 in hexavigesimal => 30G 3 x 676 = 2028 0 x 26 = 0 + G (16) x 1 = 16 - 2048Īn alternate way to represent hexavigesimal is called bijective numeration. (26) 1 2 3 4 5 6 7 8 9 A B C D E F G H I J K L M N. Uh, a compact notation for tridecimal (13). Languages in use: Ainu (Northern Japan), Atong (Northeast India and Bangladesh), Aztec (central Mexico - extinct), Basque millers (Spainish/French Pyrenees), Burushaski (Pakistan and India), Chukchi (Northeastern Siberia), Dzongkha (Bhutan), Kaktovik Inupiaq numerals in the Inuit language (Alaska), Maya (Mesoamerica - extinct), Santali (India and Bangladesh), Tlingit (Pacific Northwest) Used in computing, measurement (16 ounces/pound).
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