How do you convert binary to octal?

Group the binary digits into sets of three (starting from the right), then convert each group to its octal equivalent (0-7). For example, binary 101101 = 101 101 = 55 in octal. Each group of 3 bits maps to one octal digit.

Why use octal instead of binary or hexadecimal?

Octal provides a middle ground between binary and hexadecimal. It's more compact than binary (3 bits per digit) and historically was easier to work with before hexadecimal became standard. Today, it's mainly used for Unix file permissions and educational purposes.

What are octal digits?

Octal uses 8 digits: 0, 1, 2, 3, 4, 5, 6, and 7. Each digit represents three binary bits, making it a compact way to represent binary numbers.

Where is octal commonly used?

Octal is most commonly used for Unix/Linux file permissions (chmod commands), where permissions are represented as three octal digits (e.g., 755, 644). It's also used in some programming languages and educational contexts.

What's the difference between octal and hexadecimal?

Octal uses base 8 (digits 0-7), while hexadecimal uses base 16 (digits 0-9, A-F). Octal groups binary into sets of 3 bits, while hexadecimal groups into sets of 4 bits. Hexadecimal is more common in modern computing.

Can I convert binary fractions to octal?

Yes, binary fractions can be converted to octal. Group the fractional part into sets of three bits (from left to right), convert each group to octal, and use a point to separate the integer and fractional parts.

🔢 Binary to Octal Converter

Convert binary numbers to octal instantly. Free online binary to octal converter with detailed steps for quick and accurate conversions.

Binary Input

Conversion: Binary → Octal

Octal (base 8) is another compact representation of binary numbers, where each octal digit represents three binary bits. While less common than hexadecimal in modern computing, octal is still used in Unix file permissions, some programming languages, and educational contexts. This converter helps you transform binary numbers into octal format quickly and accurately.