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1、通信与信息工程学院专业英语结课作业班级:姓名:学号:指导教师:作业时间:成绩:评语:通信与信息工程学院二O—五年PassageBBinarySystemandLogicSystems1.BinarySystemAdigitalsystemfunctionsinabinarymanner.ltemploysdeviceswhichexistonlyintwopossiblestates.Atransistorisallowedtooperateatcutofforinsaturation,butnotinitsactiveregion.Anodemayb
2、eathighvoltageof,say,4±IVoratalowvoltageof,say,0.2±0.2V,butnovaluesareallowed.Variousdesignationsareusedforthesetwoquantizedstates,andthemostcommonarelistedinTable3.1.Inlogic,astatementischaracterizedastrueorfalse,andthisisthefirstbinaryclassificationlistedinthetable.Aswitchmayb
3、eclosedoropen,whichisthenotationunder9,etc.Binaryarithmeticandmathematicalmanipulationofswitchingorlogicfunctionsarebestcarriedoutwithclassification3,whichinvolvestwosymbols,O(zero)and1(one).Thebinarysystemofrepresentingnumberswillnowbeexplainedbymakingreferencetothefamiliardeci
4、malsystem.InthelatterthebaseislO(ten),andtennumerals,。,1,2,3••.,9,arerequiredtoexpressanarbitrarynumber.Towritenumberslargerthan9,weassignameaningtothepositionofnumeralsinanarrayofnumerals.Forexample,thenumber1264(onethousandtwohundredsixtyfour)hasthemeaning1264=1x103+2x102+6x10
5、1+4x10°ThustheindividualdigitsinthenumberrepresentthecoefficientsinanexpansionofthenumberinpowersoflO.Thedigitwhichisfarthesttotherightisthecoefficientofthezerothpower;thenextisthecoefficientofthefirthpower.andsoon.Inthebinarysystemofrepresentationthebaseis2,andonlytwonumerals0a
6、ndlarerequiredtorepresentanumber.Thenumerals0and1havethesamemeaningasinthedecimalsystem,butadifferentinterpretationisplacedonthepositionoccupiedbyadigit.lnthebinarysystemthetworatherthantenasinthedecimalsystem.Forexample,thedecimalnumber19iswritteninthebinaryrepresentationas1001
7、1sincelooi^ixzHoxz^oxzHixz^ixz^ie+o+o+z+^igAshortlistofequivalentnumbersindecimalandbinarynotationsisgiveninTable3.2.AgeneralmethodforconvertingfromadecimaltoabinarynumberisindicatedinTable3.3.Theprocedureisthefollowing.Placethedecimalnumber(inthisillustration,19)ontheextremerig
8、ht.Nextdivideby2andplacethequotient(9)totheleft
