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Convert the following hexadecimal

numbers to decimal: a) 0xE4 b) 0x3AC c) 0xFF

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  1. 23 June, 05:23
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    a) 228

    b) 940

    c) 255

    Explanation:

    To convert a hexadecimal number to decimal, multiply each hex digit by 16^ (position-1) and add the components.

    For example, 0x 34 = 3 * 16^ (2-1) + 4*16^ (1-1) = 48 + 4 = 52

    Evaluating the given numbers:

    a) 0xE4 = >

    E corresponds to 14. So the decimal representation is 14*16 + 4 = 228

    b) 0x3AC = >

    A corresponds to 10 and C to 12. So the decimal representation is 3*16^2 + 10*16 + 12 = 940

    c) 0xFF = >

    F corresponds to 15. So the decimal representation is 15*16 + 15 = 255
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