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Why does signed (2's complement) binary multiplication have different procedure than unsigned?

The 2's complement binary multiplication does not have same procedure as unsigned if the both operands do not have the same sign. What is the logic behind that? Does special consideration apply to ...
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Can fixed point division be implemented using a divider that outputs quotient and remainder?

From what I have seen, division is a highly expensive operation in terms of time or area (tradeoff). It is usually implemented as an operation of continuous subtraction of a number from another number ...