How do you convert octal to binary?

Convert each octal digit to its 3-bit binary equivalent. For example, octal 75: 7 = 111, 5 = 101, so 75 = 111101 in binary. Each octal digit maps directly to exactly 3 binary bits.

What is octal 777 in binary?

Octal 777 in binary is 111111111. Each 7 = 111, so 777 = 111111111 (9 bits). This represents the maximum 3-digit octal value.

Why convert octal to binary?

Understanding the binary representation helps you see the actual bit pattern, which is useful for understanding Unix file permissions (where each octal digit represents 3 permission bits), working with bitwise operations, or debugging at the bit level.

How many binary bits does one octal digit represent?

One octal digit represents exactly 3 binary bits. This is why octal is convenient - it groups binary into manageable chunks of 3 bits.

How do Unix file permissions relate to binary?

Unix permissions use octal: each digit represents 3 bits (read=4, write=2, execute=1). For example, 755 = 111 101 101 in binary, meaning owner has all permissions (111), group and others have read+execute (101).

Can I convert octal fractions to binary?

Yes, convert each octal digit in the fractional part to its 3-bit binary equivalent, maintaining the position of the octal point. The conversion follows the same pattern as integer conversion.

🔢 Octal to Binary Converter

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

Octal Input

Conversion: Octal → Binary

Octal to binary conversion is essential for understanding how octal values are represented at the bit level. Since each octal digit represents exactly three binary bits, this conversion is straightforward and commonly needed when working with Unix file permissions, legacy systems, or educational contexts. This converter helps you quickly transform octal values into their binary equivalents.