Binary to Octal

What is the Binary to Octal Converter?

This tool converts binary numbers to octal by grouping bits into sets of three.

Why Convert Binary to Octal?

Binary to octal conversion is useful for:

• Unix permissions — each rwx triplet = 1 octal digit
• Compact notation — shorter than binary, easy to read
• Historical computing — early systems used octal
• Quick mental math — easier than hex for small numbers

The Conversion

Group binary digits into sets of 3 (from right), then convert:

Example: 111 101 101 → 7 5 5 → 755

How to Use

1. Enter binary number — sequence of 0s and 1s
2. View octal result — converted from 3-bit groups
3. Apply the value — use for permissions or calculations

Permission Mapping

For Unix file permissions:

• 100 = 4 (read)
• 010 = 2 (write)
• 001 = 1 (execute)
• 111 = 7 (rwx - full access)
• 101 = 5 (r-x - read + execute)

Padding

Binary input is padded with leading zeros to make complete 3-bit groups.