《电子技术（双语）》课件-逻辑代数中的三种基本运算

逻辑代数中的三种基本运算ThreebasicoperationsinlogicalalgebraPartone一教学目标TeachingobjectiveParttwo二半导体二极管的结构StructureofsemiconductordiodePartthree三半导体二极管的特性CharacteristicsofsemiconductordiodesPartfour四半导体二极管的模型ModelsofsemiconductordiodePartfive五二极管的开关特性SwitchingcharacteristicsofdiodesTeacher:JiaLisi授课教师：贾丽斯逻辑代数三种基本运算Threebasicoperationsinlogicalalgebra数字电路设计基石ThecornerstoneofdigitalcircuitdesignPart01教学目标Teachingobjective教学目标Teachingobjective010203理解与、或、非运算概念UnderstandtheconceptsofAND,OR,andNOToperations掌握运算规则、符号及表示方法Masteroperationrules,symbolsandrepresentationmethods应用于数字电路分析与设计ApplicationsindigitalcircuitanalysisanddesignPart02生活案例类比

Reallifecases生活案例类比Reallifecases两盏灯Therearetwolamps生活案例类比Reallifecases两个开关同时闭合closebothswitchessimultaneously生活案例类比Reallifecases两盏灯会一起亮forbothlightstolightup与运算：两开关串联控两灯，同时闭合才亮。ANDoperation:Twoswitchesinseriescontroltwolights,andtheywilllightuponlywhentheyareclosedatthesametime.生活案例类比Reallifecases两扇门Therearetwodoors.生活案例类比Reallifecases打开任意一个门Openingeitherdoor生活案例类比Reallifecases生活案例类比Reallifecases或运算：两扇门任意打开一扇可进入房间。ORoperation:Openanyoneofthetwodoorstoentertheroom生活案例类比Reallifecases生活案例类比Reallifecases生活案例类比Reallifecases生活案例类比Reallifecases非运算：自动感应灯，人靠近亮、离开灭。NOToperation:Automaticsensorlight,turnsonwhenpeopleapproachandturnsoffwhenpeopleleave.掌握逻辑代数的应用Mastertheapplicationoflogicalalgebra三种基本运算ThreebasicoperationsPart03与运算

ANDoperation

与运算

ANDoperation逻辑关系：只有当决定事物结果的全部条件同时具备时，结果才发生。Logicalrelationship:theresultoccursonlywhenalltheconditionsthatdeterminetheoutcomearemetsimultaneously.符号表示：A・B（读作与符号）

Symbol:A・B电路案例：Circuitexample:与运算

ANDoperationABY两开关串联控灯，A=1且B=1时Y=1Twoswitchesconnectedinseriescontrolalight.WhenA=1andB=1,Y=1.电路案例：Circuitexample:与运算

ANDoperationABY两开关串联控灯，A=1且B=1时Y=1Twoswitchesconnectedinseriescontrolalight.WhenA=1andB=1,Y=1.电路案例：Circuitexample:与运算

ANDoperationABY两开关串联控灯，A=1且B=1时Y=1Twoswitchesconnectedinseriescontrolalight.WhenA=1andB=1,Y=1.电路案例：Circuitexample:与运算

ANDoperation逻辑表达式：Y=A・BLogicalexpression:Y=A・B真值表：A、B全1则Y=1，否则Y=0Truthtable:IfbothAandBare1,thenY=1;otherwise,Y=0.Part04或运算

ORoperation

或运算

ORoperation逻辑关系：在决定事物结果的多个条件中，只要有任何一个满足，结果就会发生。Logicalrelationship:amongthemultipleconditionsthatdeterminetheoutcomeofathing,aslongasanyoneofthemismet,theresultwilloccur.符号表示：A+B

Symbol:A+B电路案例：Circuitexample:或运算

ORoperationABY电路案例：Circuitexample:或运算

ORoperationABY两开关并联控灯，A=1或B=1时Y=1Twoswitchesinparallelcontrolalight.WhenA=1orB=1,Y=1.电路案例：Circuitexample:或运算

ORoperationABY两开关并联控灯，A=1或B=1时Y=1Twoswitchesinparallelcontrolalight.WhenA=1orB=1,Y=1.电路案例：Circuitexample:或运算

ORoperation两开关并联控灯，A=1或B=1时Y=1Twoswitchesinparallelcontrolalight.WhenA=1orB=1,Y=1.逻辑表达式：Y=A+BLogicalexpression:Y=A+B真值表：A、B任一为1则Y=1，全0则

Truthtable:IfeitherAorBis1,Y=1;ifbothare0,Y=0.Part05非运算

NOToperation

非运算

NOToperation逻辑关系：只要条件具备了，结果便不会发生；而条件不具备时，结果一定发生。Logicalrelationship:aslongastheconditionsaremet,theresultwillnotoccur;however,iftheconditionsarenotmet,theresultwilldefinitelyoccur.符号表示：ASymbol:A电路案例：Circuitexample:非运算

NOToperationAY电路案例：Circuitexample:非运算

NOToperationAY单开关控灯，A=0时Y=1，singleswitchcontrolsalight.WhenA=0,Y=1;电路案例：Circuitexample:非运算

NOToperationAY单开关控灯，A=0时Y=1，singleswitchcontrolsalight.WhenA=0,Y=1;A=1时Y=0whenA=1,Y=0.电路案例：Circuitexample:非运算

NOToperation单开关控灯，A=0时Y=1，singleswitchcontrolsalight.WhenA=0,Y=1;A=1时Y=0whenA=1,Y=0.真值表：A=0则Y=1，A=1则Y=0Truthtable:WhenA=0,thenY=1;whenA=1,thenY=0.逻辑表达式：Y=ALogicalexpression:Y=APart06案例分析

Casestudy

报警电路设计:Alarmcircuitdesign:案例分析

CasestudyABY报警电路设计:Alarmcircuitdesign:案例分析

CasestudyABY两传感器A、B需同时检测到异常（A=1且B=1），报警器Y才响（Y=1）。BothsensorsAandBmustdetectananomalysimultaneously(A=1andB=1)foralarmYtosound(Y=1).逻辑表达式：Y=A·B

Logicalexpression:Y=A・B报警电路设计:Alarmcircuitdesign:案例分析

CasestudyABY与运算真值表ANDoperationTruthtable报警电路设计:Alarmcircuitdesign:案例分析

CasestudyABYABY错误示范：Errorexample:或运算ORoperation教学重点梳理

Keypointsofteaching三种基本运算的逻辑关系、运算符号、逻辑表达式、真值表。Thelogicalrelationship,operationsymbols,logicalexpressions,andtruthtablesofthethreebasicoperations.核心内容Corecontent关键区别Keydifferences与运算需全条件满足；TheANDoperationrequiresallconditionstobemet;或运算任一条件满足；TheORoperationrequiresanyoneconditiontobemet;非运算状态取反。TheNOToperationrequiresthatconditionandresultareopposite.电子工程师Electronicsengineer职业岗位应用Careerapplication硬件设计师Hardwaredesigner应用场景：CPU芯片逻辑门电路设计。Applications:CPUchiplogicgatecircuitdesign.电子工程师Electronicsengineer职业岗位应用Careerapplication应用场景：CPU芯片逻辑门电路设计。Applications:CPUchiplogicgatecircuitdesign.工作内容：运用基本运算来构建各种逻辑门电路，实现数据的处理和运算。Responsibilities:Usebasicoperationstoconstructvariouslogicgatecircuitstoimplementdataprocessingandcalculations.硬件设计师Hardwaredesigner电子工程师Electronicsengineer职业岗位应用Careerapplication硬件设计师Hardwaredesigner应用场景：智能家居传感器信号处理。Applications:SmartHomeSensorSignalProcessing.工作内容：通过逻辑运算来实现不同传感器信号的处理，从而控制家电设备的运行。Responsibilities:Processvarioussensorsignalsthroughlogicaloperationsto