Octal to Binary Conversion
Convert between Octal and Binary quickly and accurately.
How to Convert Octal to Binary
Conversion Formula
Example
Convert 15 oct to bin:
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
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 to Binary Conversion Table
| Octal [oct] | Binary [bin] |
|---|---|
| 1 oct | 4 bin |
| 10 oct | 40 bin |
| 25 oct | 100 bin |
| 50 oct | 200 bin |
| 100 oct | 400 bin |
| 0 oct | 0E+0 bin |
| -10 oct | -40 bin |
| -40 oct | -160 bin |
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