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    What is the sum of the binary (base 2) number (1100)₂, and the hexadecimal (base 16) number (3)₁₆?
    Question



    What is the sum of the binary (base 2) number (1100)₂, and the hexadecimal (base 16) number (3)₁₆?

    A.


    B.


    C.


    D.


    Correct option is A

    Convert

    ​ (binary) to decimal:


    Convert

    ​ (hexadecimal) to decimal:


    Add the decimal values:


    Convert

    back to hexadecimal:


    Thus, the sum is


    Information Booster:
    1. Binary System (Base 2): Uses two digits, 0 and 1. Each position represents a power of 2.
    2. Hexadecimal System (Base 16): Uses sixteen symbols (0 – 9 and A – F). A represents 10, B represents 11, and so on.

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