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Assuming the sign-magnitude representation of binary numbers, what is the result of the -6+29?!

-6   ->    100110
29   ->    011101

The decimal result is 23 and there is no overflow for that. However, the binary addition shows 000011 with a 1 as carry bit. Why?

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Straightforward binary addition only works for twos-complement representation. Sign-magnitude represenation is more complicated, which is why nobody uses it.

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  • $\begingroup$ Sign-magnitude is used by floating point numbers... kind of... $\endgroup$ – peterwhy May 11 '16 at 18:23

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