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Question Number 9420 by tawakalitu last updated on 07/Dec/16

x and y are two binary numbers which are   in 4 − bit 2′s complement formate,   where x = 00102 and y = 11012 : clearly,  y is a negative number. what is the result  of x + y in decimal formate.

$$\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{are}\:\mathrm{two}\:\mathrm{binary}\:\mathrm{numbers}\:\mathrm{which}\:\mathrm{are}\: \\ $$$$\mathrm{in}\:\mathrm{4}\:−\:\mathrm{bit}\:\mathrm{2}'\mathrm{s}\:\mathrm{complement}\:\mathrm{formate},\: \\ $$$$\mathrm{where}\:\mathrm{x}\:=\:\mathrm{00102}\:\mathrm{and}\:\mathrm{y}\:=\:\mathrm{11012}\::\:\mathrm{clearly}, \\ $$$$\mathrm{y}\:\mathrm{is}\:\mathrm{a}\:\mathrm{negative}\:\mathrm{number}.\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{result} \\ $$$$\mathrm{of}\:\mathrm{x}\:+\:\mathrm{y}\:\mathrm{in}\:\mathrm{decimal}\:\mathrm{formate}. \\ $$

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