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Convert 234.43 (base 7) to base 10

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  1. 4 October, 21:13
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    123.6326

    Explanation:

    Given number in base 7 : 234.43

    Converting to base 10:

    Each digit needs to be multiplied by 7^ (position index)

    Applying this for all the digits in the number:

    =2 * 7^2 + 3*7^1 + 4*7^0 + 4*7^-1 + 3*7^-2

    =2*49 + 3*7 + 4 + 4/7+3/49

    =98 + 21 + 4 + 0.5714 + 0.0612

    Separating the integer and fraction parts:

    = (98 + 21 + 4) + (0.5714 + 0.0612)

    =123.6326

    So the base 10 equivalent value for 234.43 (base 7) is 123.6326
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