Binary to Octal Conversion

Convert between Binary and Octal quickly and accurately.

bin
oct

How to Convert Binary to Octal

Conversion Formula

1 bin = 0.25 oct
1 oct = 4 bin

Example

Convert 15 bin to oct:

15 bin = 15 × 0.25 oct = 3.75 oct

Unit Information

Learn about the numbers units you're converting between

Binary

bin

Definition

Binary is a base-2 numeral system using only digits 0 and 1. It is fundamental to computer science and digital electronics, representing data in the most basic form that computers can process.

History/Origin

Binary notation was developed by Gottfried Leibniz in the 17th century, though the concept dates back to ancient civilizations. It became essential with the advent of digital computers in the 20th century.

Current Use

Binary is used in computer programming, digital circuits, data storage systems, and all digital technology. It forms the foundation of how computers process and store information.

Multiplier

2

Offset

0

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

Binary to Octal Conversion Table

Binary [bin] Octal [oct]
1 bin 0.25 oct
10 bin 2.5 oct
25 bin 6.25 oct
50 bin 12.5 oct
100 bin 25 oct
0 bin 0E+0 oct
-10 bin -2.5 oct
-40 bin -10 oct