Making Binary to Octal Conversion Simple

Our Binary to Octal Converter is a free online tool that makes it incredibly easy to convert numbers from the binary (base-2) system to the octal (base-8) system. This conversion is one of the most straightforward in computer science because the base of the octal system (8) is a direct power of the binary system's base (2³). This means every three binary digits can be represented by a single octal digit, making octal a convenient shorthand for long binary strings.

This method is particularly famous for its use in file permissions on Unix-like operating systems (like Linux and macOS), where a 3-digit octal number like 755 represents the 9-bit binary string 111101101. Our tool automates the grouping and conversion process, eliminating manual errors and saving you time, whether you're a student learning about number systems or a professional system administrator.

How to Use the Binary to Octal Converter

1. Enter Binary Number: Type or paste your binary string (composed of 0s and 1s) into the input field. The tool will automatically ignore any spaces.
2. Click Convert: Press the "Convert to Octal" button.
3. Get the Octal Result: The tool will instantly calculate and display the octal equivalent in the output box.
4. Copy and Use: Click the "Copy Result" button to easily transfer the octal number to your clipboard.

Frequently Asked Questions About Binary to Octal Conversion

How do I convert binary to octal?

To convert binary to octal, you group the binary digits into sets of three, starting from the right. If the leftmost group doesn't have three digits, you pad it with leading zeros. Then, convert each 3-bit group into its single octal digit equivalent (e.g., 101 becomes 5).

How to convert 10101 binary to octal?

First, pad the binary number 10101 to make its length a multiple of three: 010 101. Then, convert each group: 010 is 2, and 101 is 5. So, the octal equivalent is 25.

How do you convert 10010110 binary to octal?

Start by padding 10010110 with a leading zero to get 010 010 110. Now, convert each 3-bit group: 010 = 2, 010 = 2, and 110 = 6. Therefore, the octal result is 226.

What is the convert binary 101101 to octal?

Group the binary number 101101 into sets of three: 101 101. Convert each group: 101 is 5 in octal. So, the converted octal number is 55.

What is the octal equivalent of 101010 in binary?

The binary string 101010 is already a multiple of three, so you can group it directly: 101 010. The first group, 101, is 5 in octal. The second group, 010, is 2 in octal. The final octal number is 52.