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Editorial Team
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Editorial Team
Asked: May 11, 20262026-05-11T16:15:54+00:00 2026-05-11T16:15:54+00:00

Is two’s complement notation of a positive number is same as its binary representation?

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Is two’s complement notation of a positive number is same as its binary representation?

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  1. Editorial Team
    Editorial Team
    2026-05-11T16:15:55+00:00Added an answer on May 11, 2026 at 4:15 pm

    Is two’s complement notation of a positive number the same number?

    The good example is from wiki that the relationship to two’s complement is realized by noting that 256 = 255 + 1, and (255 − x) is the ones’ complement of x

    0000 0111=7 two’s complement is 1111 1001= -7

    the way it works is the msb(most significant bit) receives a negative value so in the case above

    -7 = 1001= -8 + 0+ 0+ 1

    Edit- A positive number written in two’s-complement notation is the same as the number written in unsigned notation (although the most significant bit must be zero). A negative number can be written in two’s complement notation by inverting all of the bits of its absolute value, then adding one to the result. Two’s-complement notation

    The maximum number that can be represented with a k-bit two’s-complement notation is 2^(k-1)−1

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