Convert binary numbers (base-2) to octal numbers (base-8) instantly. Easy-to-use binary to octal calculator with detailed conversion steps.
Popular Binary Conversion Tools
Type your binary number into the input field. Only digits 0 and 1 are accepted.
Press the convert button to transform your binary to octal format instantly.
See the octal result with detailed conversion steps showing how the binary to octal conversion works.
Reference our binary to octal table for quick lookups of common conversions.
Binary to octal conversion is the process of converting numbers from the binary system (base-2) to the octal system (base-8). The binary system uses two digits (0 and 1), while the octal system uses eight digits (0-7). This binary to octal converter simplifies the conversion process by grouping binary digits into sets of three.
To convert binary to octal, group the binary digits into sets of three from right to left, then convert each group to its octal equivalent. For example, to convert binary 101010 to octal:
Quick reference for converting 3-bit binary groups to octal.
| Octal | Binary | Decimal |
|---|---|---|
| 0 | 000 | 0 |
| 1 | 001 | 1 |
| 2 | 010 | 2 |
| 3 | 011 | 3 |
| 4 | 100 | 4 |
| 5 | 101 | 5 |
| 6 | 110 | 6 |
| 7 | 111 | 7 |
File permissions in Unix/Linux are often represented using Octal numbers (e.g., 755, 644).
A binary to octal calculator is essential for quick and accurate conversions in computer science and digital systems. Our binary to octal converter provides instant results with a clear binary to octal table and step-by-step explanations, making it perfect for students, programmers, and engineers.
| Binary | Octal |
|---|---|
| 000 | 0 |
| 001 | 1 |
| 010 | 2 |
| 011 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| 1000 | 10 |
| 1001 | 11 |
| 1010 | 12 |
| 1011 | 13 |
| 1100 | 14 |
| 1101 | 15 |
| 1110 | 16 |
| 1111 | 17 |
Convert binary to octal numbers in milliseconds with our optimized calculator.
Understand the conversion process with detailed steps for educational purposes.
Quick reference table showing common binary to octal conversions.
Convert binary numbers of any length to octal format without restrictions.
Use this binary to octal converter completely free, no installation required.
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