User Guide
- Input Section
- Enter the binary number in the text area labeled "Binary Numbers".
- Use the "Clear" button beneath the input field to erase your entry if needed.
- Output Section
- The converted octal number will be displayed in the output area.
- Use the "Copy" button below the output area to copy the octal result to your clipboard.
Binary (base-2) consists of only two digits: 0 and 1. Octal (base-8) uses eight digits: 0 to 7. Converting binary to octal is useful for simplifying binary representation in computing and programming while preserving its structure.
Conversion Method: Binary to Octal
Steps to Convert
- Group the binary number into groups of three bits starting from the right (add leading zeros if necessary).
- Convert each group of three bits into its corresponding octal value using a reference table.
Binary to Octal Table
Binary | Octal Equivalent |
000 | 0 |
001 | 1 |
010 | 2 |
011 | 3 |
100 | 4 |
101 | 5 |
110 | 6 |
111 | 7 |
Example
Convert 1100101012 (binary) to octal:
- Group into threes: 000 110 010 101 (add leading zeros).
- Convert each group:
- 000 = 0
- 110 = 6
- 010 = 2
- 101 = 5
- Combine the results: 06258.
Result: 1100101012 = 06258