Number bases

Positive integers in decimal and in binary bases of the n-th power of two (2n).


 * decimal: base ten (10)
 * binary: base two (2 = 21, first power of two)
 * quaternary: base four (4 = 22, second power of two)
 * octal: base eight (8 = 23, third power of two)
 * hexadecimal: base sixteen (16 = 24, fourth power of two)
 * duotrigesimal: base thirty-two (32 = 25, fifth power of two)
 * tetrasexagesimal: base sixty-four (64 = 26, sixth power of two)
 * centoctovigesimal: base 128 = 27 (seventh power of two)
 * ducentohexaquinquagesimal: base 256 = 28 (eighth power of two)
 * quingentoduodecimal: base 512 = 29 (ninth power of two)
 * milletetravigesimal: base 1024 = 210 (tenth power of two)
 * dumilloctoquadragesimal: base 2048 = 211 (eleventh power of two)
 * quadramillehexanonagesimal: base 4096 = 212 (twelfth power of two)

Note that bases 63 and higher include arbitrary characters for numerals (since the number of Hindu-Arabic numerals, plus Roman uppercase and Roman lowercase letters, equals 62 characters). Base 64 is presented here using the additional two characters of "-" (hyphen) and "_" (underscore) from the "URL- and Filename-Safe Base-64 Alphabet" of Internet Engineering Task Force (IETF) RFC 4648.

Additional Resources

 * Number bases/Introduction
 * Wikipedia's List of Numeral Systems
 * Wiktionary Appendex on Names for Number Bases
 * Names of Bases on The Math Forum
 * Names of Number Bases by a "Radicologist"
 * Conversion List for Binary, Octal, and Hexadecimal Numbers
 * Table of Bases on Wikipedia