The base 36 positional numeral system


Base 36 What does the decimal 51444298 (radix or base 10), when converted to the hexatrigesimal (radix or base 36), equal to?

Well, believe it or not, it equals "UMMOA"!

All bases from base 2 to base 36 are case insensitive, which means that the decimal 51444298, when converted to base 36, equals either "UMMOA" or "ummoa", but not a case sensitive "number" such as "Ummoa". From base 37 to base 64, the "numbers" — in reality they are alphanumeric strings representing numbers in different positional notation systems — are (progressively) case sensitive. In fact, decimal 209450712, when converted to base 51, the minimum radix or base required for the specific case sensitive conversion, equals "Ummoa".

The base 36 positional numeral system is useful because you can convert any case insensitive alphanumerical string into a decimal number. Only numbers and case insensitive letters can be used, however. Case sensitive — upper and lower case characters used — conversions require bases between 37 and 64, but even in the latter case punctuation marks (like the one used in a domain name like ummoa.com), mathematical symbols, and other kinds of characters are excluded.

"CESIDIO" in base 36 equals 27015801072 in base 10 (decimal).

"TALLINI" in base 36 equals 63767625390 in base 10.

"RUSSIA" in base 36 equals 1684318546 in base 10.

Russia's ISO 3166-2 code of "RU" in base 36 equals 1002 in base 10.

You can calculate the base 10 or decimal value of any case insensitive alphanumerical string through the special program below:

http://5world.net/base-36-to-decimal.html

Base 36 is the most compact case insensitive alphanumeric numeral system using ASCII characters.


Radix (Wikipedia)
http://en.wikipedia.org/wiki/Radix

Base 36 (Wikipedia)
http://en.wikipedia.org/wiki/Base_36

Positional notation (Wikipedia)
http://en.wikipedia.org/wiki/Positional_notation

List of numeral systems: Standard positional numeral systems (Wikipedia)
http://en.wikipedia.org/wiki/List_of_numeral_systems#Standard_positional_numeral_systems

Duodecimal (Wikipedia)
http://en.wikipedia.org/wiki/Duodecimal

Base Converter: Convert a number into another base
http://korn19.ch/coding/base_converter.php

Number Bases Conversion (conversion of bases 2 to 62, including base 64)
http://convertxy.com/index.php/numberbases
HMRD Cesidio Tallini [1, 2]
5World.net