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    The representation of 4-bit code 1101 into 7 bits, even parity Hamming code is
    Question



    The representation of 4-bit code 1101 into 7 bits, even parity Hamming code is

    A.

    (1010101)

    B.

    (1111001)

    C.

    (1011101)

    D.

    (1110000)

    Correct option is A


    Hamming Code is an error-correcting code that adds redundant parity bits to data bits to detect and correct single-bit errors. For a 4-bit code with even parity, we calculate the 7-bit Hamming code as follows:

    Information Booster:
    1. Even Parity: Ensures that the total number of 1‘s (including parity bits) is even.
    2. Error Detection/Correction:
    · Single-bit errors can be corrected.
    · Double-bit errors can be detected.
    3. Applications: Used in communication systems, memory systems, and data storage to improve data integrity.

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