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Octal information


Numeral systems, bits and Gray code
hex dec oct 3 2 1 0 step
0hex 00dec 00oct 0 0 0 0 g0
1hex 01dec 01oct 0 0 0 1 h1
2hex 02dec 02oct 0 0 1 0 j3
3hex 03dec 03oct 0 0 1 1 i2
4hex 04dec 04oct 0 1 0 0 n7
5hex 05dec 05oct 0 1 0 1 m6
6hex 06dec 06oct 0 1 1 0 k4
7hex 07dec 07oct 0 1 1 1 l5
8hex 08dec 10oct 1 0 0 0 vF
9hex 09dec 11oct 1 0 0 1 uE
Ahex 10dec 12oct 1 0 1 0 sC
Bhex 11dec 13oct 1 0 1 1 tD
Chex 12dec 14oct 1 1 0 0 o8
Dhex 13dec 15oct 1 1 0 1 p9
Ehex 14dec 16oct 1 1 1 0 rB
Fhex 15dec 17oct 1 1 1 1 qA

Octal (base 8) is a numeral system with eight as the base.

In the decimal system, each place is a power of ten. For example:

In the octal system, each place is a power of eight. For example:

By performing the calculation above in the familiar decimal system, we see why 112 in octal is equal to in decimal.

Octal numerals can be easily converted from binary representations (similar to a quaternary numeral system) by grouping consecutive binary digits into groups of three (starting from the right, for integers). For example, the binary representation for decimal 74 is 1001010. Two zeroes can be added at the left: (00)1 001 010, corresponding to the octal digits 1 1 2, yielding the octal representation 112.

The octal multiplication table
× 1 2 3 4 5 6 7 10
1 1 2 3 4 5 6 7 10
2 2 4 6 10 12 14 16 20
3 3 6 11 14 17 22 25 30
4 4 10 14 20 24 30 34 40
5 5 12 17 24 31 36 43 50
6 6 14 22 30 36 44 52 60
7 7 16 25 34 43 52 61 70
10 10 20 30 40 50 60 70 100

and 24 Related for: Octal information

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Octal

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Octal (base 8) is a numeral system with eight as the base. In the decimal system, each place is a power of ten. For example: 74 10 = 7 × 10 1 + 4 × 10...

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Octal base

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Octal base may refer to: A vacuum tube socket with an eight-pin base The octal, or base-8, numeral system This disambiguation page lists articles associated...

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Octal game

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The octal games are a class of two-player games that involve removing tokens (game pieces or stones) from heaps of tokens. They have been studied in combinatorial...

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Escape sequences in C

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wchar_t s2[] = L"\x1234"; ^ An octal escape sequence consists of a backslash followed by one to three octal digits. The octal escape sequence ends when it...

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Split octal

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Syllabic octal and split octal are two similar notations for 8-bit and 16-bit octal numbers, respectively, used in some historical contexts. Syllabic octal is...

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Tube socket

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the octal base for their pinout. An octal base tube, Soviet 6Π3C, similar to the 6L6. Octal base of a 6SN7 An octal socket A variant of the octal base...

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Umask

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It may be represented as binary, octal or symbolic notation. The umask command allows the mask to be set as octal (e.g. 0754) or symbolic (e.g. u=,g=w...

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Binary number

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Binary 000 is equivalent to the octal digit 0, binary 111 is equivalent to octal 7, and so forth. Converting from octal to binary proceeds in the same...

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Hexadecimal

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to denote hexadecimal numbers: 16r5a3. Binary, quaternary (base-4) and octal numbers can be specified similarly. The most common format for hexadecimal...

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Computer number format

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numbers. In an octal system, there are only 8 digits, 0 through 7. That is, the value of an octal "10" is the same as a decimal "8", an octal "20" is a decimal...

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XDR DRAM

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used by Sony in the PlayStation 3 console. Initial clock rate at 400 MHz. Octal data rate (ODR): Eight bits per clock cycle per lane. Each chip provides...

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Aviation transponder interrogation modes

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24-bit address can be represented in three digital formats: hexadecimal, octal, and binary. These addresses are used to provide a unique identity normally...

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Octree

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An octree is a tree data structure in which each internal node has exactly eight children. Octrees are most often used to partition a three-dimensional...

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IP address

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writing,[specify] IPv4 addresses may be presented in various hexadecimal, octal, or binary representations. In the early stages of development of the Internet...

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Buffer amplifier

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a hex buffer is a single package containing 6 buffer amplifiers, and an octal buffer is a single package containing 8 buffer amplifiers. The terms inverting...

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Radix

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b1s' place, a b2s' place, etc. Commonly used numeral systems include: The octal and hexadecimal systems are often used in computing because of their ease...

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6SN7

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6SN7 is a dual triode vacuum tube with an eight-pin octal base. It provides a medium gain (20 dB). The 6SN7 is basically two 6J5 triodes in one envelope...

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List of vacuum tubes

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1C7-G – Octal version of type 1C6. 1D5-Gp – Octal version of type 1A4-p. 1D5-Gt – Octal version of type 1A4-t. (Note: This is a shouldered "G" octal, not...

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Memory rank

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(single rank), two ranks (dual rank), four ranks (quad rank), or eight ranks (octal rank).[citation needed] There is only a little difference between a dual...

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Null character

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notation), this is not a separate escape sequence, but an octal escape sequence with a single octal digit 0; as a consequence, \0 must not be followed by...

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1

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Greek prefix mono-/haplo- Latin prefix uni- Binary 12 Ternary 13 Senary 16 Octal 18 Duodecimal 112 Hexadecimal 116 Greek numeral α' Arabic, Kurdish, Persian...

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8

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when written in binary. 8 is the base of the octal number system, which is mostly used with computers. In octal, one digit represents three bits. In modern...

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Syllabic

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abugidas used to write a number of Aboriginal Canadian languages Syllabic octal, octal representation of 8-bit syllables or bytes Syllabic verse, poetry that...

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Positional notation

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When converting from binary to octal every 3 bits relate to one and only one octal digit. Hexadecimal, decimal, octal, and a wide variety of other bases...

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