Hex To Octal Converter
Enter the hexadecimal value to convert to octal or Octal to Hexadecimal.
Hexadecimal:
Hexadecimal (Base-16) is widely used in programming and computer science.
Octal:
Octal (Base-8) is used in Unix permissions and some legacy computing applications.
How to Convert Hexadecimal to Octal — Formula:
Hex → Decimal (Σ dᵢ×16ⁱ) → Octal (repeated division by 8).
Example: Hex FF → Decimal 255 → Octal 377.
Technical Details:
No direct digit mapping exists between hex and octal (4 bits vs 3 bits). The conversion requires an intermediate decimal or binary step. Hex FF = Binary 11111111 = Octal 377.
Hex To Octal Converter:
Convert hexadecimal to octal. The conversion goes through decimal as an intermediate step.
Binary ↔ Hex ↔ Octal: Grouping Relationship
Binary → Hex (group by 4 bits):
Binary → Octal (group by 3 bits):
Frequently Asked Questions
How do I convert Hexadecimal to Octal?
Hex → Decimal (Σ dᵢ×16ⁱ) → Octal (repeated division by 8).
What is the Hexadecimal number system?
Hexadecimal (Base-16) is widely used in programming and computer science.
What is the Octal number system?
Octal (Base-8) is used in Unix permissions and some legacy computing applications.
Where is Hexadecimal to Octal conversion used?
No direct digit mapping exists between hex and octal (4 bits vs 3 bits). The conversion requires an intermediate decimal or binary step. Hex FF = Binary 11111111 = Octal 377.
Can I convert large hexadecimal 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.