| 987654321 | = | 8 | x | 123456789 | + | 9 |
| 98765432 | = | 8 | x | 12345678 | + | 8 |
| 9876543 | = | 8 | x | 1234567 | + | 7 |
| 987654 | = | 8 | x | 123456 | + | 6 |
| ... | ||||||
| 9 | = | 8 | x | 1 | + | 1 |
Explain why this pattern holds in other number systems using bases other than base 10.
For example in base 4
| 321 | = | 2 | x | 123 | + | 3 |
| 32 | = | 2 | x | 12 | + | 2 |
| 3 | = | 2 | x | 1 | + | 1 |