Binary To Octal Converter
Enter the binary value to convert to octal or Octal to Binary.
Binary:
Binary (Base-2) numbers can be efficiently converted to octal by grouping bits in sets of 3.
Octal:
Octal (Base-8) provides a more compact representation than binary while maintaining easy conversion.
How to Convert Binary to Octal — Formula:
Group binary digits into sets of 3 from right: 000=0, 001=1, 010=2, 011=3, 100=4, 101=5, 110=6, 111=7.
Example: Binary 11111111 → 011 111 111 → 3 7 7 → Octal 377.
Technical Details:
This is a direct grouping conversion — no arithmetic needed. Pad with leading zeros to complete the leftmost group. 3 binary digits = 1 octal digit.
Binary To Octal Converter:
Convert binary to octal by grouping every 3 binary digits into one octal digit.
Binary ↔ Hex ↔ Octal: Grouping Relationship
Binary → Hex (group by 4 bits):
Binary → Octal (group by 3 bits):
Frequently Asked Questions
How do I convert Binary to Octal?
Group binary digits into sets of 3 from right: 000=0, 001=1, 010=2, 011=3, 100=4, 101=5, 110=6, 111=7.
What is the Binary number system?
Binary (Base-2) numbers can be efficiently converted to octal by grouping bits in sets of 3.
What is the Octal number system?
Octal (Base-8) provides a more compact representation than binary while maintaining easy conversion.
Where is Binary to Octal conversion used?
This is a direct grouping conversion — no arithmetic needed. Pad with leading zeros to complete the leftmost group. 3 binary digits = 1 octal digit.
Can I convert large binary numbers?
Yes. This converter handles numbers of any practical size. For very large numbers, the conversion is performed using arbitrary-precision arithmetic to ensure accuracy.