Home › Developer Tools › Octal to Binary Converter

Octal to Binary Converter

Type an octal number to see its bits instantly. Each octal digit maps to exactly three bits, which is why permissions like 755 read as rwx r-x r-x.

Examples

Step-by-step conversion

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    How to use the Octal to Binary Converter

    1. Type a octal number in the left box. The binary result appears instantly.
    2. Need the other direction? Type in the right box, or press ⇄ to swap.
    3. Working with negative numbers? Choose a signed two's complement bit width.
    4. Read the steps below the result to see exactly how the conversion works.
    5. Copy the result with one click.

    How to convert octal to binary

    Because 8 = 23, each octal digit stands for exactly three bits. Write each octal digit as its 3-bit pattern and join them: 6 4 4 = 110 100 100 = 110100100.

    Octal digits as 3 bits

    Each octal digit is exactly three bits, which is why octal is used for Unix permissions (read = 4, write = 2, execute = 1).

    OctalBinaryPermission
    0000---
    1001--x
    2010-w-
    3011-wx
    4100r--
    5101r-x
    6110rw-
    7111rwx

    Decimal, octal, hex and binary table (0–511)

    Every value up to octal 777. Use Ctrl+F to jump to a number.

    DecimalOctalHexBinary
    000000000000
    111000000001
    222000000010
    333000000011
    444000000100
    555000000101
    666000000110
    777000000111
    8108000001000
    9119000001001
    1012A000001010
    1113B000001011
    1214C000001100
    1315D000001101
    1416E000001110
    1517F000001111
    162010000010000
    172111000010001
    182212000010010
    192313000010011
    202414000010100
    212515000010101
    222616000010110
    232717000010111
    243018000011000
    253119000011001
    26321A000011010
    27331B000011011
    28341C000011100
    29351D000011101
    30361E000011110
    31371F000011111
    324020000100000
    334121000100001
    344222000100010
    354323000100011
    364424000100100
    374525000100101
    384626000100110
    394727000100111
    405028000101000
    415129000101001
    42522A000101010
    43532B000101011
    44542C000101100
    45552D000101101
    46562E000101110
    47572F000101111
    486030000110000
    496131000110001
    506232000110010
    516333000110011
    526434000110100
    536535000110101
    546636000110110
    556737000110111
    567038000111000
    577139000111001
    58723A000111010
    59733B000111011
    60743C000111100
    61753D000111101
    62763E000111110
    63773F000111111
    6410040001000000
    6510141001000001
    6610242001000010
    6710343001000011
    6810444001000100
    6910545001000101
    7010646001000110
    7110747001000111
    7211048001001000
    7311149001001001
    741124A001001010
    751134B001001011
    761144C001001100
    771154D001001101
    781164E001001110
    791174F001001111
    8012050001010000
    8112151001010001
    8212252001010010
    8312353001010011
    8412454001010100
    8512555001010101
    8612656001010110
    8712757001010111
    8813058001011000
    8913159001011001
    901325A001011010
    911335B001011011
    921345C001011100
    931355D001011101
    941365E001011110
    951375F001011111
    9614060001100000
    9714161001100001
    9814262001100010
    9914363001100011
    10014464001100100
    10114565001100101
    10214666001100110
    10314767001100111
    10415068001101000
    10515169001101001
    1061526A001101010
    1071536B001101011
    1081546C001101100
    1091556D001101101
    1101566E001101110
    1111576F001101111
    11216070001110000
    11316171001110001
    11416272001110010
    11516373001110011
    11616474001110100
    11716575001110101
    11816676001110110
    11916777001110111
    12017078001111000
    12117179001111001
    1221727A001111010
    1231737B001111011
    1241747C001111100
    1251757D001111101
    1261767E001111110
    1271777F001111111
    12820080010000000
    12920181010000001
    13020282010000010
    13120383010000011
    13220484010000100
    13320585010000101
    13420686010000110
    13520787010000111
    13621088010001000
    13721189010001001
    1382128A010001010
    1392138B010001011
    1402148C010001100
    1412158D010001101
    1422168E010001110
    1432178F010001111
    14422090010010000
    14522191010010001
    14622292010010010
    14722393010010011
    14822494010010100
    14922595010010101
    15022696010010110
    15122797010010111
    15223098010011000
    15323199010011001
    1542329A010011010
    1552339B010011011
    1562349C010011100
    1572359D010011101
    1582369E010011110
    1592379F010011111
    160240A0010100000
    161241A1010100001
    162242A2010100010
    163243A3010100011
    164244A4010100100
    165245A5010100101
    166246A6010100110
    167247A7010100111
    168250A8010101000
    169251A9010101001
    170252AA010101010
    171253AB010101011
    172254AC010101100
    173255AD010101101
    174256AE010101110
    175257AF010101111
    176260B0010110000
    177261B1010110001
    178262B2010110010
    179263B3010110011
    180264B4010110100
    181265B5010110101
    182266B6010110110
    183267B7010110111
    184270B8010111000
    185271B9010111001
    186272BA010111010
    187273BB010111011
    188274BC010111100
    189275BD010111101
    190276BE010111110
    191277BF010111111
    192300C0011000000
    193301C1011000001
    194302C2011000010
    195303C3011000011
    196304C4011000100
    197305C5011000101
    198306C6011000110
    199307C7011000111
    200310C8011001000
    201311C9011001001
    202312CA011001010
    203313CB011001011
    204314CC011001100
    205315CD011001101
    206316CE011001110
    207317CF011001111
    208320D0011010000
    209321D1011010001
    210322D2011010010
    211323D3011010011
    212324D4011010100
    213325D5011010101
    214326D6011010110
    215327D7011010111
    216330D8011011000
    217331D9011011001
    218332DA011011010
    219333DB011011011
    220334DC011011100
    221335DD011011101
    222336DE011011110
    223337DF011011111
    224340E0011100000
    225341E1011100001
    226342E2011100010
    227343E3011100011
    228344E4011100100
    229345E5011100101
    230346E6011100110
    231347E7011100111
    232350E8011101000
    233351E9011101001
    234352EA011101010
    235353EB011101011
    236354EC011101100
    237355ED011101101
    238356EE011101110
    239357EF011101111
    240360F0011110000
    241361F1011110001
    242362F2011110010
    243363F3011110011
    244364F4011110100
    245365F5011110101
    246366F6011110110
    247367F7011110111
    248370F8011111000
    249371F9011111001
    250372FA011111010
    251373FB011111011
    252374FC011111100
    253375FD011111101
    254376FE011111110
    255377FF011111111
    256400100100000000
    257401101100000001
    258402102100000010
    259403103100000011
    260404104100000100
    261405105100000101
    262406106100000110
    263407107100000111
    264410108100001000
    265411109100001001
    26641210A100001010
    26741310B100001011
    26841410C100001100
    26941510D100001101
    27041610E100001110
    27141710F100001111
    272420110100010000
    273421111100010001
    274422112100010010
    275423113100010011
    276424114100010100
    277425115100010101
    278426116100010110
    279427117100010111
    280430118100011000
    281431119100011001
    28243211A100011010
    28343311B100011011
    28443411C100011100
    28543511D100011101
    28643611E100011110
    28743711F100011111
    288440120100100000
    289441121100100001
    290442122100100010
    291443123100100011
    292444124100100100
    293445125100100101
    294446126100100110
    295447127100100111
    296450128100101000
    297451129100101001
    29845212A100101010
    29945312B100101011
    30045412C100101100
    30145512D100101101
    30245612E100101110
    30345712F100101111
    304460130100110000
    305461131100110001
    306462132100110010
    307463133100110011
    308464134100110100
    309465135100110101
    310466136100110110
    311467137100110111
    312470138100111000
    313471139100111001
    31447213A100111010
    31547313B100111011
    31647413C100111100
    31747513D100111101
    31847613E100111110
    31947713F100111111
    320500140101000000
    321501141101000001
    322502142101000010
    323503143101000011
    324504144101000100
    325505145101000101
    326506146101000110
    327507147101000111
    328510148101001000
    329511149101001001
    33051214A101001010
    33151314B101001011
    33251414C101001100
    33351514D101001101
    33451614E101001110
    33551714F101001111
    336520150101010000
    337521151101010001
    338522152101010010
    339523153101010011
    340524154101010100
    341525155101010101
    342526156101010110
    343527157101010111
    344530158101011000
    345531159101011001
    34653215A101011010
    34753315B101011011
    34853415C101011100
    34953515D101011101
    35053615E101011110
    35153715F101011111
    352540160101100000
    353541161101100001
    354542162101100010
    355543163101100011
    356544164101100100
    357545165101100101
    358546166101100110
    359547167101100111
    360550168101101000
    361551169101101001
    36255216A101101010
    36355316B101101011
    36455416C101101100
    36555516D101101101
    36655616E101101110
    36755716F101101111
    368560170101110000
    369561171101110001
    370562172101110010
    371563173101110011
    372564174101110100
    373565175101110101
    374566176101110110
    375567177101110111
    376570178101111000
    377571179101111001
    37857217A101111010
    37957317B101111011
    38057417C101111100
    38157517D101111101
    38257617E101111110
    38357717F101111111
    384600180110000000
    385601181110000001
    386602182110000010
    387603183110000011
    388604184110000100
    389605185110000101
    390606186110000110
    391607187110000111
    392610188110001000
    393611189110001001
    39461218A110001010
    39561318B110001011
    39661418C110001100
    39761518D110001101
    39861618E110001110
    39961718F110001111
    400620190110010000
    401621191110010001
    402622192110010010
    403623193110010011
    404624194110010100
    405625195110010101
    406626196110010110
    407627197110010111
    408630198110011000
    409631199110011001
    41063219A110011010
    41163319B110011011
    41263419C110011100
    41363519D110011101
    41463619E110011110
    41563719F110011111
    4166401A0110100000
    4176411A1110100001
    4186421A2110100010
    4196431A3110100011
    4206441A4110100100
    4216451A5110100101
    4226461A6110100110
    4236471A7110100111
    4246501A8110101000
    4256511A9110101001
    4266521AA110101010
    4276531AB110101011
    4286541AC110101100
    4296551AD110101101
    4306561AE110101110
    4316571AF110101111
    4326601B0110110000
    4336611B1110110001
    4346621B2110110010
    4356631B3110110011
    4366641B4110110100
    4376651B5110110101
    4386661B6110110110
    4396671B7110110111
    4406701B8110111000
    4416711B9110111001
    4426721BA110111010
    4436731BB110111011
    4446741BC110111100
    4456751BD110111101
    4466761BE110111110
    4476771BF110111111
    4487001C0111000000
    4497011C1111000001
    4507021C2111000010
    4517031C3111000011
    4527041C4111000100
    4537051C5111000101
    4547061C6111000110
    4557071C7111000111
    4567101C8111001000
    4577111C9111001001
    4587121CA111001010
    4597131CB111001011
    4607141CC111001100
    4617151CD111001101
    4627161CE111001110
    4637171CF111001111
    4647201D0111010000
    4657211D1111010001
    4667221D2111010010
    4677231D3111010011
    4687241D4111010100
    4697251D5111010101
    4707261D6111010110
    4717271D7111010111
    4727301D8111011000
    4737311D9111011001
    4747321DA111011010
    4757331DB111011011
    4767341DC111011100
    4777351DD111011101
    4787361DE111011110
    4797371DF111011111
    4807401E0111100000
    4817411E1111100001
    4827421E2111100010
    4837431E3111100011
    4847441E4111100100
    4857451E5111100101
    4867461E6111100110
    4877471E7111100111
    4887501E8111101000
    4897511E9111101001
    4907521EA111101010
    4917531EB111101011
    4927541EC111101100
    4937551ED111101101
    4947561EE111101110
    4957571EF111101111
    4967601F0111110000
    4977611F1111110001
    4987621F2111110010
    4997631F3111110011
    5007641F4111110100
    5017651F5111110101
    5027661F6111110110
    5037671F7111110111
    5047701F8111111000
    5057711F9111111001
    5067721FA111111010
    5077731FB111111011
    5087741FC111111100
    5097751FD111111101
    5107761FE111111110
    5117771FF111111111

    Frequently asked questions

    How do you convert octal to binary?

    Replace each octal digit with its 3-bit pattern: 0 = 000, 1 = 001, … 7 = 111. For example 755 = 111 101 101.

    How does this relate to chmod permissions?

    Each octal digit of a permission is three bits: read (4), write (2), execute (1). 7 = 111 = rwx, 5 = 101 = r-x and 4 = 100 = r--.

    What is 777 in binary?

    111111111: nine 1 bits, meaning every permission is set.

    Can I pad the output to a fixed width?

    Yes. Choose a signed bit width in the number type menu to see the value padded to 8, 16, 32 or 64 bits.

    Which digits are allowed?

    Only 0-7. Digits 8 and 9 do not exist in octal, and the converter will flag them.

    Is there a size limit?

    No. Any length converts exactly.

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