Octal to Decimal Conversion

Convert between Octal and Decimal quickly and accurately.

oct
dec

How to Convert Octal to Decimal

Conversion Formula

1 oct = 0.8 dec
1 dec = 1.25 oct

Example

Convert 15 oct to dec:

15 oct = 15 × 0.8 dec = 12 dec

Unit Information

Learn about the numbers units you're converting between

Octal

oct

Definition

Octal is a base-8 numeral system using digits 0, 1, 2, 3, 4, 5, 6, and 7. It was historically important in early computer systems and is still used in some programming contexts.

History/Origin

Octal was widely used in early computer systems, particularly in the 1960s and 1970s. It was popular because it maps easily to binary (3 bits per octal digit).

Current Use

Octal is used in some programming languages, file permissions (Unix/Linux), and certain computer science applications.

Multiplier

8

Offset

0

Decimal

dec

Definition

Decimal is a base-10 numeral system using digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is the most widely used numeral system in the world, forming the foundation of modern mathematics.

History/Origin

Decimal systems have been used for thousands of years, likely originating from counting on ten fingers. The Hindu-Arabic numeral system standardized decimal notation.

Current Use

Decimal is used in all aspects of daily life, mathematics, science, engineering, finance, and virtually every field that involves numbers.

Multiplier

10

Offset

0

Octal to Decimal Conversion Table

Octal [oct] Decimal [dec]
1 oct 0.8 dec
10 oct 8 dec
25 oct 20 dec
50 oct 40 dec
100 oct 80 dec
0 oct 0E+0 dec
-10 oct -8 dec
-40 oct -32 dec