Assignment 1: Base Conversion Examples
Conversion 1: small number
Example conversion to 6 digits, base 9:
| Value | div 9 | mod 9 |
|---|---|---|
| 3486₁₀ | 387 | 3 |
| 387₁₀ | 43 | 0 |
| 43₁₀ | 4 | 7 |
| 4₁₀ | 0 | 4 |
| 0₁₀ | 0 | 0 |
| 0₁₀ | 0 | 0 |
So, the least-significant places of 3486₁₀ in base 9 are 0, 0, 4, 7, 0, 3.
Conversion 2: large base
Example conversion to 4 digits, base 17:
| Value | div 17 | mod 17 |
|---|---|---|
| 15485636₁₀ | 910919 | 13 |
| 910919₁₀ | 53583 | 8 |
| 53583₁₀ | 3151 | 16 |
| 3151₁₀ | 185 | 6 |
So, the least-significant places of 15485636₁₀ in base 17 are 6, 16, 8, 13.
Conversion 3: negative number
Example conversion to 6 digits, base 6:
| Value | div 6 | mod 6 |
|---|---|---|
| -82₁₀ | -14 | 2 |
| -14₁₀ | -3 | 4 |
| -3₁₀ | -1 | 3 |
| -1₁₀ | -1 | 5 |
| -1₁₀ | -1 | 5 |
| -1₁₀ | -1 | 5 |
So, the least-significant places of -82₁₀ in base 6 are 5, 5, 5, 3, 4, 2.
Updated Fri April 28 2023, 10:19 by ggbaker.