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28 November, 06:25

What is the number 212three in base-two form?

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  1. 28 November, 08:33
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    I think the correct given number is 212 base 3 and we are asked to convert this number into base 2.

    We should recall that a number let us say X with a base of Y can also be written as:

    X base Y = log X / log Y

    Therefore in this case, the new number base should be equal to the initial number base. That is:

    log 212 / log 3 = log X / log 2

    So let us find for X:

    log X = (log 212 / log 3) * log 2

    X = 10 ^ [ (log 212 / log 3) * log 2]

    X = 10 ^ (1.467754511

    X = 29.36

    Therefore the new form would be:

    29.36 base 2
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