Binary to Octal Converter
Convert binary (base-2) to octal (base-8). Just as hex uses 4-bit groups, octal uses 3-bit groups — making the conversion a simple regrouping.
Common Values
How It Works
Group the binary digits from right into groups of 3, padding with leading zeros. Convert each 3-bit group: 000=0, 001=1, 010=2, 011=3, 100=4, 101=5, 110=6, 111=7. For example, 11111111 → 011 111 111 → 377.
Worked Examples
| Binary | Octal |
|---|---|
| 111 | 7 |
| 1000 | 10 |
| 11111111 | 377 |
| 1000000 | 100 |
| 1111111 | 177 |
| 10000000 | 200 |
| 11000000 | 300 |
Related Conversions
Frequently Asked Questions
- How do I convert binary to octal?
Group the binary digits from right to left in sets of 3, padding with leading zeros. Convert each 3-bit group to its octal digit (0-7).
- What is 11111111 in octal?
11111111 binary is 377 in octal: grouped as 011, 111, 111 which equals 3, 7, 7.
- Why does each octal digit equal 3 bits?
Octal is base 8 and 8 = 2³, so one octal digit represents exactly 3 binary digits.
- Is binary to octal conversion exact?
Yes, the conversion is always exact with no rounding. Every binary number maps to exactly one octal number.