Octal multiplication is where numbers in the base-8 number system are multiplied together. It may be useful to multiply octal numbers in networking, legacy computer systems or digital systems. Use our free octal multiplication calculator below to multiply octal numbers together and get the octal multiplication result.
If you want to learn how to multiply octal numbers then it will require practice and persistence. While similar to decimal multiplication, octal multiplication can be trickier to understand given that octal only has 8 digits. This means that you have to carry digits differently to what you are used to when the place value exceeds 7.
Write the numbers just like you would when multiplying decimal numbers, aligning them so that they are aligned by their least significant digit (rightmost). Multiply each place column together digit by digit moving from right to left. If the result of the product in a certain place value is 8 or more then add 1 to the next place value (column) and subtract 8 from the result of the current column. Once complete for all columns you can sum the results as you would in decimal multiplication. You can double check your work with the above calculator.
Use this simple octal multiplication table to learn the result of basic octal multiplications.
| * | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 2 | 0 | 2 | 4 | 6 | 10 | 12 | 14 | 16 |
| 3 | 0 | 3 | 6 | 11 | 14 | 17 | 22 | 25 |
| 4 | 0 | 4 | 10 | 14 | 20 | 24 | 30 | 34 |
| 5 | 0 | 5 | 12 | 17 | 24 | 31 | 36 | 43 |
| 6 | 0 | 6 | 14 | 22 | 30 | 36 | 44 | 52 |
| 7 | 0 | 7 | 16 | 25 | 34 | 43 | 52 | 61 |