In expanded notation, the hexadecimal 74AF16 is (7*4096) + (4*256) + (A*16) + (F*1). When converting from hexadecimal to decimal, what value

Question

In expanded notation, the hexadecimal 74AF16 is (7*4096) + (4*256) + (A*16) + (F*1). When converting from hexadecimal to decimal, what value is assigned to F?

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Adalynn 3 months 2022-02-06T18:31:26+00:00 1 Answer 0 views 0

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  1. Adalynn
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    2022-02-06T18:33:10+00:00
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    Answer:

    F is assigned the value of 15

    [tex]74AF_{16} = 29871_{10}[/tex]

    Step-by-step explanation:

    Hexadecimal number system is base 16 and it contain the following numbers:

    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

    A has a value of 10

    B has a value of 11

    C has a value of 12

    D has a value of 13

    E has a value of 14

    F has a value of 15

    By completing the expanded notation:

    [tex](7*4096) + (4*256) + (A * 16) + (F *1)\\= (7*4096) + (4*256) + (10 * 16) + (15 *1)\\= 28672 + 1024 + 160 + 15\\= 29871[/tex]

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45:7+7-4:2-5:5*4+35:2 =? ( )