Binary to Octal Converter | Convert Binary to Oct
Free online binary to octal converter. Convert binary numbers to octal format instantly. Includes conversion table and step-by-step explanations.
Binary to Octal Converter
Common Binary to Octal Examples
Binary to Octal Conversion Table
| Binary | Octal | Decimal |
|---|---|---|
| 000 | 0 | 0 |
| 001 | 1 | 1 |
| 010 | 2 | 2 |
| 011 | 3 | 3 |
| 100 | 4 | 4 |
| 101 | 5 | 5 |
| 110 | 6 | 6 |
| 111 | 7 | 7 |
How Binary to Octal Conversion Works
Step-by-Step Process
- Group binary digits into sets of 3 (from right to left)
- Convert each 3-bit group to its octal equivalent (0-7)
- Combine the octal digits to form the final number
Example: Converting "110 101" to Octal
- 1. Split into groups of 3: 110 101
- 2. Convert each group:
- • 110 = 6
- • 101 = 5
- 3. Final octal: 65
Key Points
- Each octal digit represents exactly 3 binary digits
- Octal only uses digits 0-7
- Add leading zeros to make complete 3-bit groups
Related Conversions
About Binary to Octal Conversion
Why Use Octal?
Octal numbers are often used in computing as a more concise way to represent binary numbers. Since each octal digit represents exactly three binary digits, it's easier to read and write octal numbers compared to long strings of binary digits.
Common Applications
- Unix file permissions (chmod commands)
- Legacy computing systems
- Some microcontroller programming
- Data representation in certain programming languages
Power of 3 Relationship
The relationship between binary and octal is based on powers of 2³:
000 = 0₈
111 = 7₈
Practice Problems
Try converting these binary numbers to octal:
Binary: 111 000 101
(Hover for answer: 705₈)
Binary: 001 010 011
(Hover for answer: 123₈)
Quick Reference
Binary to Octal Steps
- Group binary into threes
- Convert each group (000-111)
- Combine octal digits
Common Patterns
100 = 4₈
011 = 3₈
001 = 1₈
About this Calculator
Free online binary to octal converter. Convert binary numbers to octal format instantly. Includes conversion table and step-by-step explanations.