Undecimal

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). The idea of counting by elevens remains of interest for its relation to a traditional method of tally-counting practiced in Polynesia.[1][2] During the French Revolution, undecimal was briefly considered as a possible basis for the reformed system of measurement.[3] Undecimal numerals have applications in computer science,[4] technology,[5] and the International Standard Book Number system.[6] They also occasionally feature in works of popular fiction.[7] In undecimal, a capital letter (often A, the symbol for 10 in hexadecimal; T, the first letter of the English word "ten"; or X, the Roman numeral 10) or the digit ↊ (called "dek") is typically used as a transdecimal symbol to represent the number 10.

  1. ^ Overmann, Karenleigh A (2020). "The curious idea that Māori once counted by elevens, and the insights it still holds for cross-cultural numerical research". Journal of the Polynesian Society. 129 (1): 59–84. doi:10.15286/jps.129.1.59-84. Retrieved 24 July 2020.
  2. ^ Overmann, Karenleigh A (2021), Oceanian counting algorithms: Analytical data for EU project 785793, Unpublished, retrieved March 21, 2022
  3. ^ Delambre, Jean Baptiste Joseph (1816). "Notice sur la vie et les ouvrages de M. Malus, et de M. le Comte Lagrange". Mémoires de la classe des Sciences mathématiques et physiques de l'Institut de France, Année 1812, Seconde Partie (in French). Paris: Firmin Didot. pp. xxvii–lxxx.
  4. ^ Rawat, Saurabh; Sah, Anushree (2013). "Subtraction in Traditional and Strange Number System by r's and r-1's Compliments". International Journal of Computer Applications. 70 (23): 13–17. doi:10.5120/12206-7640.
  5. ^ Ulrich, Werner (November 1957). "Non-binary error correction codes". Bell System Technical Journal. 36 (6): 1364–1365. doi:10.1002/j.1538-7305.1957.tb01514.x.
  6. ^ ISBN Users' Manual, International Edition, 7th ed. London: International ISBN Agency. 2017. ISBN 978-92-95055-12-4.
  7. ^ Das, Debasis; Lanjewar, U.A. (January 2012). "Realistic Approach of Strange Number System from Unodecimal to Vigesimal" (PDF). International Journal of Computer Science and Telecommunications. 3 (1): 13.