Binary to Octal Converter
Quickly convert binary numbers to their octal equivalent.
Binary Input
Octal Output
Why Use This Tool? ✅
Fast & Accurate
Converts binary to octal instantly and precisely as you type.
Perfect for Computing
An essential tool for anyone working with file permissions, digital logic, or computer architecture.
User-Friendly Interface
A simple, clean two-panel layout makes converting from binary to octal effortless.
Ideal for Learning
Helps students and developers visualize the relationship between binary and octal number systems.
From Base-2 to Base-8: A Bridge in Computing 🔢
While computers operate in binary (base-2), reading long strings of 0s and 1s is cumbersome for humans. The octal (base-8) number system serves as a compact way to represent binary numbers, making them easier to read and work with, especially in older computing contexts and specific applications like Unix file permissions.
The Direct Link Between Binary and Octal
The octal system is convenient because of its direct relationship with binary. Each octal digit can be represented by a unique group of three binary digits (bits).
To convert a binary number like `111101101` to octal, you first split the binary string into groups of three, starting from the right:
111 101 101
Then, you convert each 3-bit group to its octal equivalent:
- Binary `111` = Octal `7`
- Binary `101` = Octal `5`
- Binary `101` = Octal `5`
So, the binary string 111101101 becomes the much shorter and more readable octal number `755`. If the leftmost group has fewer than three bits, you simply pad it with leading zeros. For example, binary 10110 becomes 010 110, which is octal `26`.