Why octal for permissions?

Each digit encodes read/write/execute for owner, group, and others in three bits.

Digits 8 or 9 in output?

Never — octal only uses 0–7.

Often shown for 3-digit chmod style (e.g. 0755).

Convert a decimal integer to base-8 octal, often shown with leading zeros for Unix permissions.

Converting from Decimal (base 10) to Octal (base 8).

Value

Converted value

Divide by 8 repeatedly and collect remainders as octal digits from least to most significant.

Concrete numbers and cases you can check against the tool above.

493 → 755 octal — matches chmod 755 when interpreted as permission bits.

chmod still references octal triplets like 755. Converting decimal bit masks to octal clarifies permission tutorials.

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Why octal for permissions?: Each digit encodes read/write/execute for owner, group, and others in three bits.
Digits 8 or 9 in output?: Never — octal only uses 0–7.
Leading zeros?: Often shown for 3-digit chmod style (e.g. 0755).

More free utilities you may need next — also listed in Text, Writing & Developer Tools and the All Tools directory.