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ECE218Fall(DueDate:Oct.3rd,Thursday,atthebeginningoftheclass,1:50FullFirstLastCWTotalGiventhetwobinarynumbersX=100101andY=101100,performthesubtraction(10points)X-Ybyusing2’sY-Xbyusing2’sX-Ybyusing1’sY-Xbyusing1’sRepresentthedecimalnumber7,302in(a)BCD,(b)excess-3code,(c)2421code,and(d) 6311code(10points)SimplifythefollowingBooleanExpressionstoaminimumnumberofli lsbyusingBoole gebra:(10points)a’xy+x’z+yz+(x+y)(x+zxy+x’z+Obtainthetruthtableofthefollowingfunction,andexpressinsum-of-mintermsandproduct-of-maxtermsform:F=(x+y’)(y+z’)(x’+z)(10points)Sum-of-minterms )=∑ Product-of-maxterms )=π SimplifytheBooleanfunctionsbyusingK-Map:(10a))=b))=DesignthelogicthathasthefollowingWhenthenumberofinputvalue“1”islargerthanthenumberofinputvalue“0”,thenoutputis“1”.Whenthenumberofinputvalue“1”isequaltothenumberofinputvalue“0”,thenoutputis“don’t-care”.Otherwise,theoutputisYoucanassumethattherearefourinputsandoneoutput.(20CreatetheTruthTablefortheDesignthelogiccircuitswithANDandORAlightinalonghallwayistobecontrolledbythreeswitchesA,B,andC.Iftheswitchisup,itslogicvalueis1.Ifanevennumberofswitchesisup,thelightison;ifanoddnumberofswitchesisuporswitchesareoff,thelightisoff.DesignthelogiccircuitforF(F=1forlighton)fromA,B,andC:(30points)CreatetheTruthTablefortheDesignthelogic Designthelogic l-NOR截止日期：1031:50。）ECE218HW#12013年秋季CWID2X-Yb)2Y-Xc)X-Y使用1的补码d)Y-X1(a)BCD、(b)3(c)2421d63117,302（10使用代数将以下表达式简化为最少数量的文字：（10分’b)xy+x'z+yz+x+y)(x+z)xy+x’z+求出下列函数的真值表，并以最小项之和与最大项之积的形式表示：F(xy’)(yz’)(z(10小项总和：)=Σ()最大