The Easiest Way to Convert Octal to Binary

Our Octal to Binary Converter is designed for anyone who needs to quickly translate numbers from the octal (base-8) system to the binary (base-2) system. The conversion between octal and binary is particularly simple because 8 is a power of 2 (2³ = 8). This means every single octal digit corresponds directly to a unique group of three binary digits.

This simple relationship made the octal system popular in early computing as a more compact, human-friendly way to represent raw binary data. A well-known modern use case is in Unix/Linux systems for file permissions, where a three-digit octal number (like 755) defines the read, write, and execute permissions. This tool removes the need to memorize the 3-bit patterns, providing a fast and error-free conversion for students, system administrators, and programmers.

How to Use the Octal to Binary Converter

1. Enter Octal Number: Type or paste the octal number (using digits 0-7) into the input box.
2. Choose Formatting: You can select the option to add spaces between the 3-bit binary groups for better readability.
3. Convert: Click the "Convert to Binary" button.
4. Get Your Result: The binary equivalent will be generated instantly in the output field, ready for you to copy and use.

Frequently Asked Questions About Octal to Binary Conversion

How do you convert octal to binary?

To convert octal to binary, you replace each octal digit with its corresponding 3-bit binary equivalent. For example, the octal digit 7 is 111 in binary, and the octal digit 2 is 010. You then combine these 3-bit groups to form the final binary number.

What is the binary number for 345 octal?

To convert 345 octal to binary, you convert each digit: 3 becomes 011, 4 becomes 100, and 5 becomes 101. Combining them gives you 011100101 in binary.

How to convert 472 octal to binary?

The conversion is done digit by digit: 4 is 100, 7 is 111, and 2 is 010. Therefore, the octal number 472 is 100111010 in binary.

What is the binary equivalent of the octal number 14?

For the octal number 14, you convert 1 to 001 and 4 to 100. The full binary equivalent is 001100. In many contexts, the leading zeros can be removed, making it 1100.

What is the octal number 645 converted to binary?

To convert 645 octal, you translate each digit: 6 is 110, 4 is 100, and 5 is 101. When you put these together, the binary equivalent is 110100101.