Why does 2base5 * 3base5 = 11
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Why does 2base5 * 3base5 = 11

[From: ] [author: ] [Date: 12-05-14] [Hit: ]
-2 * 3 = 6.In Base 10, you carry over to the next place after the 10th number(9). In Base 5, you carry over after the 5th number(4). The digits 5-9 dont exist in Base 5,......
I am trying to put together a base 5 multiplication and everything I find on base 5 is about using the table to solve larger problems, but I want to know how to construct the table, so how do I multiply the one digit values, example being 2base5 * 3base5 = 11.

I pick best answers. Thanks.

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2 * 3 = 6.
Base 10: 0 --> 1 --> 2 --> 3 --> 4 --> 5 --> 6
Base 5: 0 --> 1 --> 2 --> 3 --> 4 --> 10 --> 11
In Base 10, you carry over to the next place after the 10th number(9). In Base 5, you carry over after the 5th number(4). The digits 5-9 don't exist in Base 5, so the one's digit resets to 0, and the ten's(or I guess in this case 5's) digit moves up to 1. Then the one's digit goes from 0 to 1, which is like 6 in Base 10.

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2 base 5 * 3 base 5 = 2 base 10 * 3 base 10 = 6 base 10 = 5 base 10 + 1 base 10 = 10 base 5 + 1 base 5 = 11 base 5

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