Octal To Hexadecimal Converter
Enter the octal value to convert to hexadecimal or Hexadecimal to Octal.
Octal:
Octal (Base-8) numbers use digits 0-7. Each octal digit represents exactly 3 binary bits.
Hexadecimal:
Hexadecimal (Base-16) uses digits 0-9 and letters A-F. Each hex digit represents exactly 4 binary bits.
How to Convert Octal to Hexadecimal — Formula:
Octal → Decimal (Σ dᵢ×8ⁱ) → Hex (repeated division by 16). Or: Octal → Binary (3 bits per digit) → Hex (4 bits per digit).
Example: Octal 377 → Decimal: 3×64 + 7×8 + 7×1 = 192+56+7 = 255 → Hex: 255÷16 = 15 remainder 15 → FF.
Technical Details:
Alternative method: Octal → Binary (expand each digit to 3 bits) → Hex (group into 4 bits). 377 → 011 111 111 → 0FF. This is commonly used in Unix file permissions (chmod 755 = hex 1ED).
Octal To Hexadecimal Converter:
Convert octal numbers to hexadecimal format. Useful in computing where both number systems are used for memory addresses and permissions.
Frequently Asked Questions
How do I convert Octal to Hexadecimal?
Octal → Decimal (Σ dᵢ×8ⁱ) → Hex (repeated division by 16). Or: Octal → Binary (3 bits per digit) → Hex (4 bits per digit).
What is the Octal number system?
Octal (Base-8) numbers use digits 0-7. Each octal digit represents exactly 3 binary bits.
What is the Hexadecimal number system?
Hexadecimal (Base-16) uses digits 0-9 and letters A-F. Each hex digit represents exactly 4 binary bits.
Where is Octal to Hexadecimal conversion used?
Alternative method: Octal → Binary (expand each digit to 3 bits) → Hex (group into 4 bits). 377 → 011 111 111 → 0FF. This is commonly used in Unix file permissions (chmod 755 = hex 1ED).
Can I convert large octal 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.