同步時(shí)序邏輯電路：解鎖數(shù)字電路時(shí)序密碼的核心方法Synchronoussequentiallogiccircuits:thecoremethodforunlockingthesequencecodeofdigitalcircuits同步時(shí)序邏輯電路：解鎖數(shù)字電路時(shí)序密碼的核心方法Synchronoussequentiallogiccircuits:thecoremethodforunlockingthesequencecodeofdigitalcircuitsTeacher:JiaLisi授課教師：賈麗斯時(shí)序邏輯電路Sequentiallogiccircuits同步時(shí)序邏輯電路：解鎖數(shù)字電路時(shí)序密碼的核心方法Synchronoussequentiallogiccircuits:thecoremethodforunlockingthesequencecodeofdigitalcircuitsTeacher:JiaLisi授課教師：賈麗斯時(shí)序邏輯電路Sequentiallogiccircuits控制電流走向Controlcurrentdirection01010101狀態(tài)表

Statetable0011001100001111同步時(shí)序邏輯電路：解鎖數(shù)字電路時(shí)序密碼的核心方法Synchronoussequentiallogiccircuits:thecoremethodforunlockingthesequencecodeofdigitalcircuits理解時(shí)序電路的工作原理和功能Understandtheworkingprinciplesandfunctionsofsequentialcircuits分析同步時(shí)序邏輯電路AnalysesynchronoussequentiallogiccircuitsPart01教學(xué)目標(biāo)Teachingobjective核心目標(biāo)Coreobjective具體任務(wù)Specifictasks教學(xué)目標(biāo)Teachingobjective給定時(shí)序邏輯電路圖，求出邏輯功能。Givenasequentiallogiccircuitdiagram,findthelogicalfunction.明確分析步驟和方法；Clearlyunderstandtheanalysisstepsandmethods;掌握功能描述方法的轉(zhuǎn)換；Mastertheconversionoffunctionaldescriptionmethods;能準(zhǔn)確說明電路功能。Accuratelydescribecircuitfunctions.Part02時(shí)序邏輯電路的功能描述方法Functionaldescriptionmethodofsequentiallogiccircuit時(shí)序邏輯電路的功能描述方法Functionaldescriptionmethodofsequentiallogiccircuit時(shí)序邏輯電路圖

Functionaldescriptionmethodofsequentiallogiccircuit功能說明

Functiondescription狀態(tài)表Statetable

以輸入、現(xiàn)態(tài)為變量Takinginputandcurrentstateasvariables狀態(tài)圖Statediagram驅(qū)動(dòng)方程

Driveequations狀態(tài)方程

Stateequation輸出方程

Outputequations

以輸入、現(xiàn)態(tài)為變量Takinginputandcurrentstateasvariables代入觸發(fā)器的特性方程Substituteintothecharacteristicequationoftheflip-flop圖形形式表示狀態(tài)轉(zhuǎn)換關(guān)系GraphicalRepresentationofstatetransitionrelationships列真值表Listtruthtables根據(jù)狀態(tài)變化規(guī)律Accordingtothelawofstatechange時(shí)序圖

Sequencediagrams波形形式表示在CP作用下狀態(tài)轉(zhuǎn)換過程statetransitionprocessundertheactionofCPintheformofwaveforms邏輯表達(dá)式

logicalexpression時(shí)序邏輯電路的功能描述方法Functionaldescriptionmethodofsequentiallogiccircuit時(shí)序邏輯電路圖

Functionaldescriptionmethodofsequentiallogiccircuit

以輸入、現(xiàn)態(tài)為變量Takinginputandcurrentstateasvariables驅(qū)動(dòng)方程

Driveequations狀態(tài)方程

Stateequation輸出方程

Outputequations

以輸入、現(xiàn)態(tài)為變量Takinginputandcurrentstateasvariables代入觸發(fā)器的特性方程Substituteintothecharacteristicequationoftheflip-flop邏輯表達(dá)式

logicalexpression主要描述方法及關(guān)系Maindescriptionmethodsandrelationships輸出方程：以輸入和現(xiàn)態(tài)為變量的邏輯表達(dá)式。Outputequation:Alogicalexpressionwithinputandcurrentstateasvariables.?驅(qū)動(dòng)方程：以輸入和現(xiàn)態(tài)為變量，描述觸發(fā)器輸入信號(hào)與輸入、現(xiàn)態(tài)的關(guān)系。?Driveequation:Alogicexpressionwithinputandcurrentstateasvariables,describingtherelationshipbetweenthetriggerinputsignalandtheinputandcurrentstate.狀態(tài)方程：將驅(qū)動(dòng)方程代入觸發(fā)器的特性方程得到，反映次態(tài)與輸入、現(xiàn)態(tài)的關(guān)系。?Stateequation:Astateequationisobtainedbysubstitutingthedriveequationintothetrigger'scharacteristicequation,reflectingtherelationshipbetweenthenextstateandtheinputandcurrentstate.時(shí)序邏輯電路的功能描述方法Functionaldescriptionmethodofsequentiallogiccircuit主要描述方法及關(guān)系Maindescriptionmethodsandrelationships狀態(tài)表：類似真值表，清晰展示現(xiàn)態(tài)到次態(tài)的轉(zhuǎn)換及輸出情況。?Statetable:Similartoatruthtable,itclearlydisplaysthetransitionfromthecurrentstatetothenextstateandtheoutput.狀態(tài)圖：用圖形形式表示狀態(tài)轉(zhuǎn)換關(guān)系，更為直觀。Statediagram:Agraphicalrepresentationofstatetransitionsismoreintuitive.時(shí)序圖：以波形形式展示在CP作用下狀態(tài)的轉(zhuǎn)換過程。?Sequencediagrams:AwaveformdiagramdisplaysthestatetransitionprocessundertheinfluenceofCP.狀態(tài)方程

Stateequation輸出方程

Outputequations功能說明

Functiondescription狀態(tài)表Statetable狀態(tài)圖Statediagram圖形形式表示狀態(tài)轉(zhuǎn)換關(guān)系GraphicalRepresentationofstatetransitionrelationships列真值表Listtruthtables根據(jù)狀態(tài)變化規(guī)律Accordingtothelawofstatechange時(shí)序圖

Sequencediagrams波形形式表示在CP作用下狀態(tài)轉(zhuǎn)換過程statetransitionprocessundertheactionofCPintheformofwaveforms時(shí)序邏輯電路的功能描述方法Functionaldescriptionmethodofsequentiallogiccircuit時(shí)序邏輯電路圖

Functionaldescriptionmethodofsequentiallogiccircuit功能說明

Functiondescription狀態(tài)表Statetable

以輸入、現(xiàn)態(tài)為變量Takinginputandcurrentstateasvariables狀態(tài)圖Statediagram驅(qū)動(dòng)方程

Driveequations狀態(tài)方程

Stateequation輸出方程

Outputequations

以輸入、現(xiàn)態(tài)為變量Takinginputandcurrentstateasvariables代入觸發(fā)器的特性方程Substituteintothecharacteristicequationoftheflip-flop圖形形式表示狀態(tài)轉(zhuǎn)換關(guān)系GraphicalRepresentationofstatetransitionrelationships列真值表Listtruthtables根據(jù)狀態(tài)變化規(guī)律Accordingtothelawofstatechange時(shí)序圖

Sequencediagrams波形形式表示在CP作用下狀態(tài)轉(zhuǎn)換過程statetransitionprocessundertheactionofCPintheformofwaveforms邏輯表達(dá)式

logicalexpression關(guān)鍵：分析的核心在于這些功能描述方法的轉(zhuǎn)換，以及根據(jù)狀態(tài)變化規(guī)律正確說明電路功能。Key:Thecoreoftheanalysisliesintheconversionofthesefunctionaldescriptionmethodsandthecorrectdescriptionofcircuitfunctionsbasedonthelawsofstatechanges.同步與異步的區(qū)別

Thedifferencebetweensynchronousandasynchronous同步時(shí)序邏輯電路

Synchronoussequentiallogiccircuits異步時(shí)序邏輯電路

Asynchronoussequentiallogiccircuits時(shí)序邏輯電路的功能描述方法Functionaldescriptionmethodofsequentiallogiccircuit有統(tǒng)一的時(shí)鐘，分析時(shí)不用考慮各觸發(fā)器狀態(tài)轉(zhuǎn)換的時(shí)鐘條件，僅在畫時(shí)序圖時(shí)畫出CP信號(hào)波形。

Haveaunifiedclock,sotheclockconditionsforeachflip-flopstatetransitiondonotneedtobeconsideredduringanalysis;onlytheCPsignalwaveformisdrawnwhendrawingthesequencediagram.沒有統(tǒng)一時(shí)鐘，分析時(shí)必須考慮各觸發(fā)器狀態(tài)轉(zhuǎn)換的時(shí)鐘條件。Donothaveaunifiedclock,sotheclockconditionsforeachflip-flopstatetransitionmustbeconsideredduringanalysis.Part03案例分析

Casestudy案例分析Casestudy案例：分析由三個(gè)下降沿觸發(fā)器FF0、FF1和FF2組成的時(shí)序邏輯電路，寫出輸出方程、驅(qū)動(dòng)方程、狀態(tài)方程，列出狀態(tài)表，畫出狀態(tài)圖和時(shí)序圖，并說明邏輯功能。Case:Analyzeasequentiallogiccircuitconsistingofthreefalling-edge-tripflip-flops：FF0,FF1andFF2,writetheoutputequation，driveequation,andstateequation,listthestatetable,drawastatediagramandsequencediagram,andexplainthelogicfunction.案例分析Casestudy三個(gè)觸發(fā)器的時(shí)鐘端都接在同一個(gè)CP上Theclockterminalsofallthreeflip-flopsareconnectedtothesameCP同步時(shí)序邏輯電路Synchronoussequentiallogiccircuit電路特點(diǎn)CircuitCharacteristics無輸入變量，有輸出函數(shù)Y。ThecircuithasnoinputvariablesandhasanoutputfunctionY案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation案例分析Casestudy邏輯表達(dá)式中，約定狀態(tài)量的排列順序?yàn)橄聵?biāo)大的高位在前、下標(biāo)小的低位在后。

Inlogicalexpressions,theorderofstatevariablesisusuallyarrangedwiththehighestdigit(largersubscript)firstandthelowestdigit(smallersubscript)last.小貼士

Tip解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation反映次態(tài)與現(xiàn)態(tài)之間的關(guān)系wecanobtainthestateequationofeachflip-flop.案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation將驅(qū)動(dòng)方程代入JK觸發(fā)器的特性方程得狀態(tài)方程SubstitutingthedriveequationintothecharacteristicequationoftheJKflip-flop,thestateequationisobtained代入

Substituting案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation將驅(qū)動(dòng)方程代入JK觸發(fā)器的特性方程得狀態(tài)方程SubstitutingthedriveequationintothecharacteristicequationoftheJKflip-flop,thestateequationisobtained代入

Substituting案例分析Casestudy解析：由給定的時(shí)序邏輯電路圖寫出邏輯表達(dá)式。Analysis:Writealogicalexpressionbasedonthegivensequentiallogiccircuitdiagram.輸出方程Outputequation驅(qū)動(dòng)方程Driveequation將驅(qū)動(dòng)方程代入JK觸發(fā)器的特性方程得狀態(tài)方程SubstitutingthedriveequationintothecharacteristicequationoftheJKflip-flop,thestateequationisobtained代入

Substituting由狀態(tài)方程及輸出方程列出狀態(tài)表

Listthestatetablebystateequationandoutputequation由狀態(tài)方程及輸出方程列出狀態(tài)表Listthestatetablebystateequationandoutputequation方程式中的現(xiàn)態(tài)為狀態(tài)表中的變量、次態(tài)及輸出為狀態(tài)表中的函數(shù)。Thecurrentstateintheequationisthevariableinthestatetable，andthenextstateandoutputarethefunctionsinthestatetable.01010101狀態(tài)表

Statetable001100110000111100011100011001001010100000000011注意：狀態(tài)量的排列順序?yàn)橄聵?biāo)大的高位在前、下標(biāo)小的低位在后。Note：Theorderofstatusvalues??is:thehigherdigitwiththelargersubscriptcomesfirst,andthelowerdigitwiththesmallersubscriptcomeslast.輸出方程Outputequation√√√√狀態(tài)方程Stateequation依各方程式，在每個(gè)與項(xiàng)覆蓋的行填寫1值，重復(fù)時(shí)只填寫一次1值，剩余行填寫0值。Foreachequation,fillinthevalue1ineachrowthatiscoveredbytheterm.Ifrepeated,fillinthevalue1onlyonceandfillintheremainingrowswiththevalue0.填函數(shù)值Fillfunctionvalue列表、排列變量取值組合Listandarrangethecombinationsofvariablevalues由狀態(tài)方程及輸出方程列出狀態(tài)表Listthestatetablebystateequationandoutputequation01010101狀態(tài)表

Statetable001100110000111100011100011001001010100000000011

↓↓↓↓↓↓↓↓

CP現(xiàn)態(tài)currentstate次態(tài)nextstate現(xiàn)態(tài)輸出Currentstateoutput狀態(tài)轉(zhuǎn)換Statetransition縱向—現(xiàn)態(tài)、次態(tài)及現(xiàn)態(tài)輸出三部分。Vertical—Currentstate,nextstate,andcurrentstateoutput.橫向—由現(xiàn)態(tài)到次態(tài)的狀態(tài)轉(zhuǎn)換關(guān)系及現(xiàn)態(tài)輸出。Horizontal—Statetransitionsfromcurrentstatetonextstateandcurrentstateoutput.

在時(shí)鐘CP作用下進(jìn)行狀態(tài)轉(zhuǎn)換，表中沒表示出來。CP下降沿有效。StatetransitionsoccurundertheinfluenceofclockCP,whichisnotshowninthetable.CPfallingedgeisvalid.理解說明

Instructions由狀態(tài)方程及輸出方程列出狀態(tài)表Listthestatetablebystateequationandoutputequation01010101狀態(tài)表

Statetable001100110000111100011100011001001010100000000011由狀態(tài)表畫出狀態(tài)圖

Drawastatediagramfromastatetable由狀態(tài)表畫出狀態(tài)圖Drawastatediagramfromastatetable01010101狀態(tài)表

Statetable001100110000111100011100011001001010100000000011/0010/0011/0100/0101/0110/0/1111/1Q2Q1Q0/Y000001畫圖方法：將狀態(tài)表中每行所表示的狀態(tài)轉(zhuǎn)換關(guān)系用圖形形式表示。Drawingmethod::Representthestatetransitionrelationshiprepresentedbyeachrowinthestatetableingraphicalform.√√√√√√√√由狀態(tài)表畫出狀態(tài)圖Drawastatediagramfromastatetable01010101狀態(tài)表

Statetable001100110000111100011100011001001010100000000011/0010/0011/0100/0101/0110/0/1111/1Q2Q1Q0/Y000001畫圖方法：將狀態(tài)表中每行所表示的狀態(tài)轉(zhuǎn)換關(guān)系用圖形形式表示。Drawingmethod::Representthestatetransitionrelationshiprepresentedbyeachrowinthestatetableingraphicalform.√√√√√√√√由狀態(tài)表畫出狀態(tài)圖Drawastatediagramfromastatetable/0010/0011/0100/0101/0110/0/1111/1Q2Q1Q0/Y000001畫圖方法：將狀態(tài)表中每行所表示的狀態(tài)轉(zhuǎn)換關(guān)系用圖形形式表示。Drawingmethod::Representthestatetransitionrelationshiprepresentedbyeachrowinthestatetableingraphicalform.現(xiàn)態(tài)、次態(tài)是相對(duì)的，箭頭所指為次態(tài)、箭尾所指為現(xiàn)態(tài)。Thecurrentstateandthenextstatearerelative;thearrowpointstothenextstate,andthetailofthearrowpointstothecurrentstate.在時(shí)鐘CP作用下進(jìn)行狀態(tài)轉(zhuǎn)換，圖中沒表示出來。Horizontal—StateStatetransitionsoccurundertheactionofclockCP,whichisnotshowninthediagram.理解說明

Instructions由狀態(tài)圖畫出時(shí)序圖

Drawasequencediagramsfromastatediagram由狀態(tài)圖畫出時(shí)序圖Drawasequencediagramsfromastatediagram/0010/0011/0100/0101/0110/0/1111/1Q2Q1Q0/Y000001畫圖方法：畫出形成循環(huán)的狀態(tài)在CP作用下一個(gè)循環(huán)周期的波形，由時(shí)序邏輯圖中觸發(fā)器的符號(hào)確定在時(shí)鐘脈沖信號(hào)CP的下降沿改變狀態(tài)。Drawingmethod::DrawthewaveformofthestatethatformsacycleundertheactionofCPinthenextcycle,anddeterminethestatechangeatthefallingedgeoftheclockpulsesignalCPbasedonthesymbolofthetriggerinthesequencelogicdiagram.CPQ0Q1Q2Y√√√√√√√起始

beginning由狀態(tài)圖畫出時(shí)序圖Drawasequencediagramsfromastatediagram/0010/0011/0100/0101/0110/0/1111/1Q2Q1Q0/Y000001方法：以輸入和現(xiàn)態(tài)為變量的邏輯表達(dá)式。Method:Functionaldescriptionisbasedonthestatetransitionpatternsofthestatediagram.功能說明

Unidirectionalconductivity狀態(tài)圖中，循環(huán)、使用的狀態(tài)為有效狀態(tài)，其余為無效狀態(tài)；Inthestatediagram,theloopedandusedstatesareactivestates,whiletherestareinactivestates.無效狀態(tài)能直接或間接進(jìn)入有效狀態(tài)稱有自啟動(dòng)功能；

Ifaninactivestatecandirectlyorindirectlytransitiontoanactivestate,itissaidtohaveaself-startingfunction.次態(tài)=現(xiàn)態(tài)+1（CP作用一次）Nextstate=currentstate+1(CPactsonce)有效狀態(tài)變化的規(guī)律為：

Therulesforeffectivestatechangesare:由狀態(tài)圖畫出時(shí)序圖Drawasequencediagramsfromastatediagram/0010/0011/0100/0101/0110/0/1111/1Q2Q1Q0/Y000001方法：以輸入和現(xiàn)態(tài)為變量的邏輯表達(dá)式。Method:Functionaldescriptionisbasedonthestatetransitionpatternsofthestatediagram.功能說明

Unidirectionalconductivity狀態(tài)圖中，循環(huán)、使用的狀態(tài)為有效狀態(tài)，其余為無效狀態(tài)；Inthestatediagram,theloopedandusedstatesareactivestates,whiletherestareinactivestates.無效狀態(tài)能直接或間接進(jìn)入有效狀態(tài)稱有自啟動(dòng)功能；

Ifaninactivestatecandirectlyorindirectlytransitiontoanactivestate,itissaidtohaveaself-startingfunction.由有效狀態(tài)的變化規(guī)律說明電路的功能、由無效狀態(tài)的變化規(guī)律說明能否自啟動(dòng)。

Thecircuit'sfunctioncanbedescribedbythetransitionpatternsoftheactivestate,andtheself-startingcapabilitycanbedeterminedbythetransitionpatternsoftheinactivestate.即用狀態(tài)變化對(duì)時(shí)鐘脈沖CP出現(xiàn)的個(gè)數(shù)進(jìn)行計(jì)數(shù)，經(jīng)歷7個(gè)狀態(tài)完成一個(gè)計(jì)數(shù)周期的循環(huán)，并產(chǎn)生進(jìn)位輸出信號(hào)。ThecircuitcountsthenumberofclockpulsesCPusingstatechanges,completingacountcyclethroughsevenstatesandgeneratingacarryoutputsignal.無效狀態(tài)的變化規(guī)律為：1個(gè)無效狀態(tài)直接進(jìn)入有效狀態(tài)。Thepatternofinactivestatechangesis:oneinactivestatedirectlyleadstoavalidstate.電路為同步七進(jìn)制加法計(jì)數(shù)器，有自啟動(dòng)功能。Thiscircuitisasynchronousseptenaryadderwithaself-startfunction.同步時(shí)序邏輯電路：解鎖數(shù)字電路時(shí)序密碼的核心方法Synchronoussequentiallogiccircuits:thecoremethodforunlockingthesequencecodeofdigitalcircuits分析步驟

Analysissteps分析方法

Analyticalmethods同步時(shí)序邏輯電路Synchronoussequentiallogiccircuit教學(xué)重點(diǎn)梳理

Keypointsofteaching同步時(shí)序邏輯電路分析Synchronoussequentiallogiccircuitanalysis核心：功能描述方法轉(zhuǎn)換。Core:Functionaldescriptionmethodconversion.推導(dǎo)方程

Derivingtheequatio