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15 May, 10:58

In binary, the second digit from the right is multiplied by the firstzerothsecond power of two, and the fourthfifthsixth digit from the right is multiplied by the fourth power of two.

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  1. 15 May, 14:03
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    In binary, we can convert to decimal number, multiplied by the power of two

    Explanation:

    We are going to convert binary to decimal:

    First step: We must write our binary (1010011)

    Second step: We are going to enumerate from right to left.

    (1 0 1 0 0 1 1)

    6 5 4 3 2 1 0

    Third step: We are going to do a table with the power of two.

    2^0 = 1, 2^1 = 2

    2^2 = 4, 2^3 = 8

    2^4 = 16, 2^5 = 32

    2^6 = 64

    Fourth step: We will match the result.

    64,32,16,8,4,2,1

    (1 0 1 0 0 1 1)

    Last step: We are going to multiply the power of two result X binary numbers and then to add it.

    64 x 1 = 64, 32 x 0 = 0

    16 x 1 = 16, 8 x 0 = 0

    4 x 0 = 0, 2 x 1 = 2

    1 x 1 = 1

    We add 64 + 16 + 2 + 1 = 83 <- - the decimal number.
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