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Octal to Decimal

Convert octal numbers to decimal. Essential for Unix/Linux system administrators working with file permissions and legacy computing systems.

What is the Octal to Decimal Converter?

This tool converts octal numbers (base-8) to decimal numbers (base-10), useful for system administration and legacy computing.

Why Convert Octal to Decimal?

Octal conversion is important for:

  • Unix/Linux permissions — chmod 755 means different access levels
  • Legacy systems — older computers used octal notation
  • Programming — some languages support octal literals (0o755)
  • Digital systems — grouping binary into 3-bit chunks

The Conversion

Each octal digit represents a power of 8, from right to left.

Example: 755 = 7×64 + 5×8 + 5×1 = 448 + 40 + 5 = 493

How to Use

  1. Enter octal number — use digits 0-7 only
  2. View decimal result — conversion is automatic
  3. Understand the value — useful for permission calculations

Unix Permission Examples

  • 644 = 420 (rw-r--r--)
  • 755 = 493 (rwxr-xr-x)
  • 777 = 511 (rwxrwxrwx)
  • 400 = 256 (r--------)

Note

Digits 8 and 9 are not valid in octal and will be rejected.

01234567
0o
0123456789

Common Conversions

7 = 7
10 = 8
77 = 63
100 = 64
755 = 493
777 = 511

Octal (Base-8)

Uses digits 0-7. Historically important in computing. Still used for Unix file permissions (rwx = 421).

Decimal (Base-10)

Standard number system for everyday use and calculations.

Enter octal digits (0-7 only)
755 in octal = 493 in decimal
Common in Unix file permissions (chmod)
Each octal digit = 3 binary bits
Want to learn more? Read documentation →
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