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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 Wed April 07 2021, 12:59 by ggbaker.