Hex to Octal
Convert a hexadecimal number to octal with the Hex to Octal converter. Enter a valid base-16 value to get its base-8 equivalent. If you are learning number systems or checking a value for a programming or computing task, the example and conversion steps below can help you verify the result.
How to convert hexadecimal to octal
1. Enter the hexadecimal value using digits 0–9 and letters A–F. Letters may be uppercase or lowercase.
2. Run the conversion using the control provided by the tool.
3. Read or copy the octal result if the live interface provides that option.
If the page currently converts automatically as you type, adjust step 2 to say “The octal result updates as you enter the value.” Keep only the instruction that matches the actual interface.
Hexadecimal to octal conversion example
Convert 2F₁₆ to octal:
1. Convert the hexadecimal value to decimal: 2 × 16 + 15 = 47.
2. Convert 47 decimal to octal: 47 ÷ 8 = 5 remainder 7.
3. Read the quotient and remainder as 57₈.
Therefore, 2F₁₆ = 57₈. You can verify the result by converting 57₈ back to decimal: 5 × 8 + 7 = 47.
What are hexadecimal and octal numbers?
Hexadecimal is a base-16 number system that uses the symbols 0–9 and A–F, where A represents 10 and F represents 15. Octal is a base-8 number system that uses digits 0–7. Converting between them changes the way a value is written, not the value it represents.
Common Mistakes to Avoid
❌ Attempting a direct digit-by-digit mapping
✓ Solution:
Between hex and octal, when no such 1-to-1 relationship exists always convert through binary.
❌ Grouping binary bits in the wrong direction
✓ Solution:
Integer parts group from the right, fractional parts group from the decimal point moving right.
❌ Forgetting to zero-pad an incomplete group
✓ Solution:
Before converting it to an octal digit.
❌ Producing an invalid octal digit (8, 9, or a hex letter)
✓ Solution:
Which signals a grouping error somewhere in the process.
Frequently Asked Questions
One reliable method is to convert the hexadecimal value to decimal and then convert the decimal value to base 8. For larger values, a direct binary method is also possible: convert each hexadecimal digit to four binary bits, then group the binary digits into sets of three from the right and convert each group to an octal digit.
Octal 57 equals decimal 47, which is hexadecimal 2F.
Yes, if you enter a valid hexadecimal value into the converter on this page, it is intended to provide the corresponding octal value. Follow the controls shown in the tool interface.
Hexadecimal numbers use 0–9 and A–F. The letters may be written in uppercase or lowercase. Characters outside that set are not hexadecimal digits.
No. The representation changes from base 16 to base 8, but the underlying numeric value stays the same.
Convert Hex to Octal Instantly
- Transform base-16 numbers into precise base-8 outputs using the verified binary bridge method.
- View complete step-by-step breakdowns, fractional conversions, and custom prefix formatting.
- Get accurate results for legacy system management and Unix file permissions in seconds.
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