Example base 10 to base 3 conversion:

What is 777 in base 3 ?

We repeatedly divide by 3 and store the remainder until 0 is left:

777 = 3 * 259 + 0

259 = 3 * 86 + 1

86 = 3 * 28 + 2

28 = 3 * 9 + 1

9 = 3 * 3 + 0

3 = 3 * 1 + 0

1 = 0 * 3 + 1

Now the number is equal to the stored remainders in reverse order:

1001210

Let's check if the value in base 10 is indeed 777:

1 * 729 = 729

0 * 243

0 * 81

1 * 27 = 27

2 * 9 = 18

1 * 3 = 3

0 * 1

Finally we add 729 + 27 + 18 + 3 = 777.

Don works for basically any coniguration,

2-2018 Teaching by misleading

2 months ago

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