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17 August, 13:41

What are the counting numbers in base 6

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  1. 17 August, 17:15
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    In the base 6 number system, we would only use numerals from 0 to 5. The idea of base 6 is just like the normal base 10 system, however instead of using the numerals from 0 to 9, we use numerals from 0 to 5. And instead of having a ones digit, a tens digit, a hundreds digit and so on, we use a ones digit, a sixes digit, a thirty-sixes digit, and so on. Therefore in base 6, the number 321 means 1 one plus 2 sixes plus 3 thirty-sixes, or 121. So to count until 15 for example, we would need:

    Base 6 Base 10

    1 1

    2 2

    3 3

    4 4

    5 5

    10 (1 six plus 0 ones) 6

    11 (1 six plus 1 one) 7

    12 (1 six plus 2 ones) 8

    13 9

    14 10

    15 11

    20 (2 sixes plus 0 ones) 12

    21 (2 sixes plus 1 one) 13

    22 14

    23 15
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