Base: 8

The octal (base-8) numeral system uses eight digits: 0 through 7. Each position represents a power of 8.

How it works

177 = 1×64 + 7×8 + 7×1 = 127

Digits

0 1 2 3 4 5 6 7

Uses

Octal was widely used in early computing (e.g. PDP-8, IBM mainframes) because it provides a compact way to represent binary numbers: each octal digit maps to exactly three binary digits. Today it appears in Unix file permissions (chmod 755) and some legacy systems.