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Octal System

Middle School

Definition

A number system using digits 0 through 7.

Formulas

(aₙa_n-1...a₁a₀)₈ = ∑_i=0ⁿ aᵢ · 8ⁱ

Octal to decimal conversion

Examples

Example 1

Convert octal 752₈ to decimal.

Example 2

Convert binary 110101₂ to octal.

Applications

Unix/Linux

File permissions (e.g., chmod 755)

Computer Science

Compact binary representation

Related Documents

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