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    The range of the numbers that can be represented in 8-bit using 2’s complement representation is
    Question

    The range of the numbers that can be represented in 8-bit using 2’s complement representation is

    A.

    –128 to +128

    B.

    –127 to +127

    C.

    –128 to +127

    D.

    More than one of the above

    E.

    None of the above

    Correct option is C

    In 8-bit 2's complement representation, one bit is used for the sign (most significant bit), and the remaining 7 bits are used for the magnitude of the number. The range of values that can be represented using 2's complement is from -128 to +127. The most significant bit (MSB) represents the sign, with 0 indicating positive numbers and 1 indicating negative numbers.
    Important Key Points:
    1. 2's Complement Representation: In this format, the highest bit (MSB) is the sign bit. A '0' in this position represents a positive number, while a '1' represents a negative number.
    2. Range Calculation: For an 8-bit system, the range is calculated as follows:
    · Positive range: 0 to 127.
    · Negative range: -128 to -1.
    3. Storage Capacity: The 8-bit 2's complement system allows representation of a total of 256 distinct values, ranging from -128 to 127.

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