Octal to Decimal Converter

Translate one exact integer representation from base 8 to base 10.

Open Decimal to Octal
Working ruledecimal = sum of each octal digit x 8^position

Octal accepts digits 0-7 only.

PermissionsLegacy systemsTeachingDebugging

Check: For Unix permissions, preserve leading zeroes when they communicate notation or mode format. Negative integers are supported; spaces and decimal points are rejected.

Read Octal Permissions As Decimal Integers

Octal-to-decimal conversion helps interpret file permissions, legacy system values, and compact base-8 notation. Each octal digit carries a power-of-eight weight, so digits 8 and 9 are invalid even though they look numeric.

Before
Octal permission 755
After
Decimal 493

Octal integer As An Exact Integer

Exact positional-integer conversion with BigInt; no numeric rounding.

Signed whole-number grammar with optional matching 0b, 0o, or 0x prefix; output is normalized and hexadecimal is uppercase.

What The Decimal integer Output Preserves

Leading zeroes and fixed width are notation choices and are not preserved by normalized output.

Representation Example

52 base 8 produces 42 base 10 under the declared profile. The calculator carries the value through the operation before formatting the displayed result.

Learn More About This Topic

Use the supporting references when the assumptions behind Octal to Decimal matter as much as the immediate result. For more context, read how number systems and text values differ before using the result in a real workflow.

Frequently Asked Questions

Signed whole-number grammar with optional matching 0b, 0o, or 0x prefix; output is normalized and hexadecimal is uppercase.

No. The numeric base tools use exact BigInt arithmetic after full-string validation. Output is normalized, so leading zeroes and fixed width are not preserved automatically.

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