How To Use This Converter
Type a number in any of the Number-Base Radix input fields and press Enter or Return on your keyboard or keypad.
The other Number-Base Radix fields will show the number you entered, converted to the other radixes.
TIP:Entry Errors
If the data you type into any Base field contains disallowed symbols for that field, the converter will notify you.
In that case, simply re-type valid data in the field of your choice and press Enter or Return.
TIP:Copy and Paste
You can Copy and Paste any of the fields by selecting the text in the field,
then pressing Control-C to copy, and Control-V to paste.

Radix-10

Decimal or Radix-10 Number System
Decimal is a Radix-10 positional notation number system. Radix-10 or Base-10 means that each Decimal "digit"
represents a multiple of increasing powers of 10, from right to left, such as:
... 10^{3}, 10^{2}, 10^{1}, 10^{0}
The valid Decimal symbols are:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
For example, the Decimal number 927 represents the following numerical expression:
(9 x 10^{2}) + (2 x 10^{1}) + (7 x 10^{0})History of the Decimal Number System
The modern Decimal number system, known as the Hindu-Arabic number system, originated in India around the 9th century CE.
The system spread to the western world during the Middle Ages (1000 to 1300 CE) as a result of trade.
Some scholars attribute the first documented use of a Decimal system to China in the 1st century BCE.

Radix-20

Vigesimal or Radix-20 Number System
Vigesimal is a Radix-20 positional notation number system. Radix-20 or Base-20 means that each Vigesimal
"digit" represents a multiple of increasing powers of 20, from right to left, such as:
... 20^{3}, 20^{2}, 20^{1}, 20^{0}
The valid Vigesimal symbols are:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9,A, B, C, D, E, F, G, H, I, J
Where: A=10, B=11, C=12, D=13, E=14, F=15, G=16, H=17, I=18, J=19
For example, the Vigesimal number JHG represents the number 7956 in the Decimal system, like so:
(19 x 20^{2}) + (17 x 20^{1}) + (16 x 20^{0})History of the Vigesimal Number System
In many languages, especially in Europe, 20 is a base with respect to the linguistic structure of the names
used in those languages for certain numbers.
In the pre-Columbian civilizations of central America, 20 was an important linguistic and counting base.
Twenty was a base in Maya number systems. The Maya had specific names for many of the powers of twenty,
as did the Nahuatl (Aztecs) of central Mexico.
French has many words to represent various larger numbers, which are based on the number 20.
This is also true of many other European languages, including Danish, Breton, Welch, Irish and Scottish Gaelic,
Albanian, Georgian, and Basque.
In old traditional English counting by the "score" (i.e. by 20's), was common, but is no longer practiced.