Convert 1100111.01011 base two to a number in base ten.​

Question

Convert 1100111.01011 base two to a number in base ten.​

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King 3 years 2021-08-22T04:02:25+00:00 1 Answers 6 views 0

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  1. Thunguyet
    0
    2021-08-22T04:03:54+00:00
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    Answer:

    103.84375

    Step-by-step explanation:

    First, indicate base 10 with a notation.

    1100111.01011 = 1×2^6 + 1×2^5 + 0 + 0 + 1×2^2 + 1×2 + 1×2^0 +0 + 1×2^-2 + 0 + 1×2^-4 + 1×2^-5

    Then, after partially solving, that will get you:

    1100111.01011 = 64 + 32 + 4 + 2 + 1 + 1/2 + 1/4 + 1/16 + 1/32

    Keep solving like so…

    103 + 0.5 + 0.25.0.0625 + 0.03125

    = 103 + 0.84375 = 103.84375

    Hope this helped, I’m not the best at explaining converting bases.

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