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-2

Binary or Radix-2 Number System
Binary is a Radix-2 positional notation number system. Radix-2 or Base-2 means that each Binary "digit"
(called a Bit), represents a multiple of increasing powers of 2, from right to left, such as:
... 2^{3}, 2^{2}, 2^{1}, 2^{0}
The valid Binary symbols are:
0, 1
For example, the Binary number 101 represents the number 5 in the Decimal number system, like so:
(1 x 2^{2}) + (0 x 2^{1}) + (1 x 2^{0})History of the Binary Number System
The modern Binary number system was introduced by Gottfried Leibniz in his 1703 work entitled:
"Explication de l'Arithmétique Binaire"
In 1854, George Boole, a British mathematician, developed what would later become modern Binary algebra (known today as Boolean algebra).
In 1937, Claude Shannon, an American electrical engineer and mathematician, in his Master's thesis at MIT,
demonstrated a machine that used electrical Binary relays to implement Boolean algebra.
Shannon's work showed that an electrical computer based on Boolean algebra could construct and solve any logical, numerical relationship.
Shannon is credited as the father of Information Theory, the mathematical basis of modern digital communications and data transmission.

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.