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Base-8 Octal Radix Converter

Radix-8

Octal or Radix-8 Number System Octal is a Radix-8 positional notation number system. Radix-8 or Base-8 means that each Octal "digit" represents a multiple of increasing powers of 8, from right to left, such as: ... 8³, 8², 8¹, 8⁰ The valid Octal symbols are: 0, 1, 2, 3, 4, 5, 6, 7 For example, the Octal number 657 represents the number 431 in the Decimal number system, like so: (6 x 8²) + (5 x 8¹) + (7 x 8⁰) History of the Octal Number System The Yuki language in California and the Pamean languages in central Mexico use Octal because the speakers count using the spaces between their fingers rather than the fingers themselves. Octal is occassionally used in computing, for example to represent the disk file permissions in the Unix operating system and its variants. Octal has the advantage of not requiring additional symbols beyond the digits 0 through 7. One Octal digit perfectly represents 3-bits of Binary, and for this reason Octal was used on computers whose word-length was a multiple of 3, such as the 24-bit and 36-bit word-length IBM computers that were popular in the 1960's. Those word-lengths could be efficiently represented by numerical displays consisting of 8 and 12 Octal digits. Modern computers, however, use 16-bit, 32-bit, or 64-bit words, which are not perfectly represented by Octal. Instead, modern computers use Hexadecimal (or Hex) to represent their words for display to humans, because a Hex digit can perfectly represent 4-bits. Consequently, modern computer words are represented perfectly with 4, 8, or 16 Hex digits.

Name	Description
All Number Base (Radix) Converters	Convert between all number bases (radixes), from radix-2 to radix-36
Base-2 Binary Converter	Convert between radix-2 Binary and radix-10 Decimal
Base-3 Ternary Converter	Convert between radix-3 Ternary and radix-10 Decimal
Base-4 Quaternary Converter	Convert between radix-4 Quaternary and radix-10 Decimal
Base-5 Quinary Converter	Convert between radix-5 Quinary and radix-10 Decimal
Base-8 Octal Converter	Convert between radix-8 Octal and radix-10 Decimal
Base-12 Duodecimal Converter	Convert between radix-12 Duodecimal and radix-10 Decimal
Base-16 Hexadecimal Converter	Convert between radix-16 Hexadecimal and radix-10 Decimal
Base-20 Vigesimal Converter	Convert between radix-20 Vigesimal and radix-10 Decimal
Base-24 Quadrovigesimal Converter	Convert between radix-24 Quadrovigesimal and radix-10 Decimal
Base-26 Hexavigesimal Converter	Convert between radix-26 Hexavigesimal and radix-10 Decimal
Base-27 Septemvigesimal Converter	Convert between radix-27 Septemvigesimal and radix-10 Decimal
Base-30 Trigesimal Converter	Convert between radix-30 Trigesimal and radix-10 Decimal
Base-32 Duotrigesimal Converter	Convert between radix-32 Duotrigesimal and radix-10 Decimal
Base-36 Hexatridecimal Converter	Convert between radix-36 Hexatridecimal and radix-10 Decimal

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Base-8 Octal Radix Converter

Number-Base Radix Converter

Radix-8

Radix-10

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