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Home/ Questions/Q 8841095
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Editorial Team
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Editorial Team
Asked: June 14, 20262026-06-14T10:37:38+00:00 2026-06-14T10:37:38+00:00

How does two’s complement work? For example: 5: 00000101 -5 (two’s complement): 11111011 How

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How does two’s complement work? For example:

5: 00000101
-5 (two's complement): 11111011

How can one tell if the latter is supposed to be 251 or -5?

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  1. Editorial Team
    Editorial Team
    2026-06-14T10:37:39+00:00Added an answer on June 14, 2026 at 10:37 am

    If its a signed integer, the most significant bit of it, works as its sign bit. If the sign bit is 0 the number is positive. If the sign bit is 1 the number is negative and is presented in 2’s complement form and the compiler does 2’s complement operation to handle these negative integers.

    But in the case of unsigned integer declared explicitly as “unsigned int”, there is no sign bit and no 2’s complement interpretation.

    So for signed 8 bin int 11111011 is the 2’s complement of 5, hence represents -5, but for unsigned 8 bit int 11111011 is 251 as you mentioned.

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