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๐Ÿ”ขNumber Bases Converter

Convert Binary to Octal

Live bidirectional calculator for Binary (BIN) and Octal (OCT) with verified formula and conversion charts.

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Number Bases4 units

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How the Calculation Works (Radix Base Conversion)

Formula:
Octal = convertBase(Binary, 2 โ†’ 8)
Substitution:Base 2 value "1" mapped to Base 8
Calculated Result:1 OCT

Arbitrary-precision integer conversion using BigInt representation.

Binary to Octal Conversion Table

Precomputed values for quick reference and printing.

Binary โ†’ Octal(BIN โ†’ OCT)
BinaryOctal
1 BIN1 OCT
10 BIN2 OCT
100 BIN4 OCT
1000 BIN10 OCT
1010 BIN12 OCT
1111 BIN17 OCT
10000 BIN20 OCT
100000 BIN40 OCT
1000000 BIN100 OCT
1100100 BIN144 OCT
10000000 BIN200 OCT
11111111 BIN377 OCT
100000000 BIN400 OCT
1000000000 BIN1000 OCT
10000000000 BIN2000 OCT
Octal โ†’ Binary(OCT โ†’ BIN)
OctalBinary
1 OCT1 BIN
2 OCT10 BIN
4 OCT100 BIN
10 OCT1000 BIN
12 OCT1010 BIN
17 OCT1111 BIN
20 OCT10000 BIN
40 OCT100000 BIN
100 OCT1000000 BIN
144 OCT1100100 BIN
200 OCT10000000 BIN
377 OCT11111111 BIN
400 OCT100000000 BIN
1000 OCT1000000000 BIN
2000 OCT10000000000 BIN

About Binary (BIN)

The Binary system is a positional numeral system with radix 2.

History: Used extensively in modern computing systems.

Common Uses: Data processing, hardware registers, and digital logic.

About Octal (OCT)

The Octal system is a positional numeral system with radix 8.

History: Used extensively in computer architecture.

Common Uses: Software development, memory addressing, and data encoding.

โ“ Frequently Asked Questions

What is the difference between Binary and Octal?

Binary (BIN) and Octal (OCT) are positional numeral systems with different radix bases. In computer architecture, values are converted between bases using arbitrary-precision binary/hex representations.

How do I convert Binary to Octal?

Parse each digit of the Binary input according to its base powers, then repeatedly divide or format the integer into the target Octal radix digits.