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Asked: 2026-06-14T05:44:19+00:00

I am trying to understand this answer here. How do both these 0xf2 and

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I am trying to understand this answer here.

How do both these 0xf2 and 0xfffffff2 values represent -14? Can you elaborate with the conversion process?

I know what is Two’s complement, though.

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  1. Editorial Team
    0xf2 = 11110010

    The first bit is sign-bit. So sign is minus. To get actual value, take 2’s compliment.

    11110010 -> 1's complement -> 00001101 -> Add 1 -> 00001110 = -14

    Similarly, take 0xfffff...f2. Sign bit at the beginning. Take 2’s complement.

    1111-1111-1111.....0010 -> 1's complement -> 00000000000...1101 -> Add 1 -> 0000...1110 -> -14

    Any number of preceding 1111... wouldn’t make a difference to the value of a negative signed number, just as 0000.. wouldn’t for positive values.

    The above calculation is for 8-bit signed 0xf2 against 32-bit signed 0xfffffff2 which are both mathematically equal.

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