Octal to Binary
The Octal to Binary Converter is an online calculator designed to help you convert octal numbers, including fractional and negative values, into their binary equivalents. This converter ensures precise results by handling both integer and fractional parts of octal numbers. Perfect for students, educators, and professionals who need quick and accurate octal to binary conversions.
Octal to Binary Converter
Calculator
- enter the octal number you wish to convert
Results
- the octal number is converted to a binary number
- the result in decimal notation
Octal to binary conversion converts a number from the octal numeral system (base-8) to the binary numeral system (base-2). The octal number system uses the digits 0, 1, 2, 3, 4, 5, 6, and 7. The binary system uses the digits 0 and 1. Each octal digit represents 3 binary bits.
Octal to Binary Conversion Steps
- Convert each octal digit to a 3-bit binary number. Since each octal digit represents 3 binary bits, you can create a simple conversion table.
- Replace each octal digit in the original number with its corresponding 3-bit binary equivalent.
- If necessary, pad the resulting binary number with leading zeros to ensure that each group of three bits is complete.
Example Conversion
The octal number 456 in binary;
4 = 100 , 5 = 101 , 6 = 110
Combining the binary numbers, octal 456 equals 100101110 in binary