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Binary to Octal Converter

1010 (bin) = 12 (oct) (binary → octal)

1010 (bin) = 12 (oct)

Convert binary numbers to octal numbers exactly, for any size. Convertitive parses your input as a BigInt — so 64-bit values, 256-bit hex strings, and even larger numbers round-trip without rounding. For quick reference: 1010 bin = 12 oct, and 11111111 bin = 377 oct.

12
Quick

How to convert binary numbers to octal numbers

  1. Enter a value

    Type a binary integer in the From field. Allowed characters: 0 and 1.

  2. Read the octal result

    The To field updates as you type. For example, the binary value 1010 equals 12 in octal.

  3. Copy or share

    Use the copy button to grab the result. You can change either base from its dropdown without leaving the page.

Reference table

Fifty representative values. Every row is computed exactly by the same BigInt-based converter that powers the widget above.

Binary (bin)Octal (oct)
00
11
102
113
1004
1015
1106
1117
100010
100111
101012
101113
110014
110115
111016
111117
1000020
1000121
1001022
1001123
1010024
1100030
1111137
10000040
10010044
10101052
11000060
11001062
11111177
1000000100
1100100144
1111111177
10000000200
11001000310
11111111377
100000000400
111110100764
111111111777
10000000001000
11111010001750
11111111111777
100000000002000
1000000000004000
100000000000010000
1000000000000020000
10000000000000040000
1000000000000000100000
1111111111111111177777
10000000000000000200000
1000000000000000000004000000

Frequently asked questions

How do I convert binary numbers to octal numbers?
Enter your binary value above. Convertitive parses it as an arbitrary-precision integer and reformats it in octal. The conversion is exact for any size — there's no float rounding.
What is 1010 in octal?
1010 (binary) equals 12 in octal.
Are negative numbers supported?
No, only non-negative integers are supported for binary ↔ octal. Two's-complement encodings depend on a chosen bit-width, which this tool does not assume.
What's the largest number I can convert?
Any size. Convertitive uses JavaScript BigInt, which has no fixed upper bound — 256-bit hex strings, 512-bit and bigger all round-trip exactly.
How many bits does the result take?
An n-digit number in base 2 needs roughly 1.00 × n bits to store. The exact bit length equals ⌈log₂(value + 1)⌉.
Is hex case-sensitive?
Hexadecimal accepts letters in either case; this conversion doesn't involve hex.
Are conversion factors exact?
Yes. Base conversion is integer-to-integer; there are no factors, no rounding, no precision loss.
Why would I convert binary numbers to octal numbers?
Octal still shows up in Unix file permissions (chmod 755) and in some embedded systems. Converting from binary to octal is helpful when configuring file modes or working with legacy hardware documentation.

About binary and octal

Binary (base 2)

Binary (base 2) represents numbers with two digits: 0 and 1. It is the native language of every digital computer because each digit maps directly to a transistor's on/off state. A group of 8 binary digits forms one byte, the smallest addressable unit in most modern hardware.

Octal (base 8)

Octal (base 8) uses the digits 0 through 7. Each octal digit represents exactly three bits, which is why octal was widely used on early minicomputers and is still the conventional notation for Unix file-permission masks (e.g. 755).

Other base converters