Converting Binary to Octal:
Converting a binary number to an octal number involves grouping the binary digits into sets of three starting from the rightmost digit. If the last group has less than three digits, add zeros to the left to make a complete group. Then, substitute each group with its corresponding octal digit.
Step-by-Step Guide:
- Start from the rightmost digit of the binary number.
- Group the binary digits into sets of three.
- If the last group has less than three digits, add zeros to the left.
- Substitute each group with its corresponding octal digit:
Binary (base 2): 000 001 010 011 100 101 110 111
Octal (base 8): 0 1 2 3 4 5 6 7
Example:
Convert the binary number 110101 to octal.
Step 1: Group into sets of three – 110 101 (add a zero to the left)
Step 2: Substitute each group – 6 5
Result: Binary 110101 is equivalent to Octal 65.
By following these simple steps, you can easily convert binary numbers to octal numbers. Practice with different binary numbers to master the conversion process.