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13 January, 21:36

Which of the following bit patterns represents the value - 9 in two's complement notation?

A. 00011010 B. 11110111 C. 10001001 D. 11111011

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  1. 13 January, 23:13
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    B. 11110111

    Explanation:

    Binary representation of number 9 = 00001001

    Binary representation of - 9 would involve calculating the twos complement representation of 00001001

    First we compute the ones complement of this number by reversing the bits.

    00001001 = > 11110110

    Next we calculate the twos complement representation by adding 1 to the ones complement.

    11110110+1 = 11110111

    So the final representation is 11110111.
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