Binary to Octal Converter
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Enter a binary value to see the conversion steps here.
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Binary to Octal Converter
A Binary to Octal Converter helps convert binary numbers (base-2) into octal numbers (base-8). This conversion is commonly used in computer science, digital electronics, and number system studies.
Group the binary digits into sets of three from right to left and convert each group into its octal equivalent.
What Is the Binary Number System?
The binary number system is a base-2 number system used by computers. It uses only two digits: 0 and 1. In digital systems, 1 represents ON and 0 represents OFF.
What Is the Octal Number System?
The octal number system is a base-8 number system. It uses digits from 0 to 7. Octal numbers are shorter and easier to read than long binary numbers.
How to Convert Binary to Octal
- Write the binary number
- Group the digits into sets of three from right to left
- Add leading zeros if needed
- Convert each group into its octal value
- Combine the octal digits
Example: Convert 100111011 (Binary) to Octal
| Binary Group | Octal Value |
|---|---|
| 100 | 4 |
| 111 | 7 |
| 011 | 3 |
100111011₂ = 473₈
<img src="/assets/images/binary-to-octal-conversion-table.jpg" alt="Binary to octal conversion example showing step by step grouping of binary digits into 3 bits with a binary to octal conversion table" class="img-fluid p-4"loading="lazy">Binary to Octal Conversion Table
| Binary | Octal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 10 | 2 |
| 11 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| 1000 | 10 |
| 1001 | 11 |
| 1010 | 12 |
| 1111 | 17 |
FAQ on Binary to Octal Converter
Binary to octal conversion is the process of converting a base-2 number into a base-8 number by grouping binary digits into sets of three.
Because octal is a base-8 system and 2³ equals 8, so three binary digits map directly to one octal digit.
The easiest way is grouping binary digits into sets of three and converting each group into its octal equivalent.