➗ Math

Octal to Decimal Converter

Convert octal numbers to decimal.

Results

Decimal
755

📊 Octal to Decimal Converter chart

Character composition of the result: letters, digits, spaces, punctuation and other symbols.

What is the Octal to Decimal Converter?

Convert octal numbers to decimal. Octal values are still common in Unix file permissions, and converting them to decimal helps when reading tools that display both.

Octal to Decimal Converter – free online math tool illustration
Octal to Decimal Converter — free, exact and private.

How to use the Octal to Decimal Converter

  1. Enter your octal number.
  2. Results update automatically as you type; you can also press Calculate.
  3. Read the output: decimal.
  4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

Sum each digit × 8^position

Worked example

With octal number = 1363, the Octal to Decimal Converter returns decimal: 755.

Where the Octal to Decimal Converter helps in real life

A script reports file mode 644 and a library function expects the decimal integer instead. Converting gives 420, which you can pass straight to the function.

A student practicing number systems converts several octal values to decimal to check the place-value working in their notebook.

Common mistakes to avoid

  • Entering an 8 or 9, which do not exist in octal.
  • Forgetting that some languages treat a leading 0 as octal.
  • Mixing up octal and decimal values that look the same.
  • Reading permission digits as one decimal number.

💡 Practical tip: Octal 755 equals decimal 493, which is why permission numbers look odd in decimal.

Illustration: a classroom whiteboard with math formulas
Octal to Decimal Converter in everyday work — illustration.

Tips for better results

  • Remember each octal digit stands for three bits.
  • Check the reverse conversion with the decimal-to-octal tool.
  • Prefix octal literals clearly in code.

Frequently asked questions

What does the Octal to Decimal Converter do?

Convert octal numbers to decimal.

How is it calculated?

The Octal to Decimal Converter uses this method: Sum each digit × 8^position.

Can you show an example?

With octal number = 1363, the Octal to Decimal Converter returns decimal: 755.

Is the Octal to Decimal Converter accurate?

Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.

Is this tool free and private?

Yes — the Octal to Decimal Converter is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.

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