To convert an octal number (base 8) to binary (base 2), you can follow this simple method:
Steps for Conversion:
Convert each octal digit to its 3-bit binary equivalent.
Each octal digit corresponds to a 3-bit binary number, since 8 (base 8) is
2
3
2
3
, and there are exactly 3 binary digits for each octal digit.
Combine all the binary groups to form the full binary number.
Example:
Let's convert the octal number 345 to binary.
Convert each octal digit to binary:
3 in octal is 011 in binary.
4 in octal is 100 in binary.
5 in octal is 101 in binary.
Combine the binary groups:
The binary equivalent of octal 345 is 011 100 101.
Remove any leading zeros (if necessary):
The binary equivalent of octal 345 is 11100101.
Summary:
To convert from octal to binary, simply replace each octal digit with its 3-bit binary equivalent, and then combine them.