数字电路英文版第三单元.pptx
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1、 CHAPTER 3 AND gate (与门)ANSI (美国国家标准协会)Boolean addition (布尔加 )Boolean algebra (布尔代数)Boolean multiplication (布尔乘)ECL (射极偶合逻辑)CMOS (互补金属氧化物半导体)Enable (使能端)Complementation (取反)Inversion (反)Exclusive-NOR(XNOR)gate (异或非门)Exclusive-OR(XOR)gate (异或门)2.第1页/共116页Fan-out (扇出)IEEE (电气和电子工程师协会)NAND gate(与非门)Neg
2、ative-AND (负与门)Negative-OR gate (负或门)NOR gate (或非门)OR gate (或门)Power dissipation (功耗)Propagation delay time(延迟时间)Truth table (真值表)Speed-power product (速度功率积)Unit load (单位负载)TTL (晶体管-晶体管逻辑)3.第2页/共116页KEY TERMSAND gate A logic gate that produces a high output only when all of the inputs are HIGH.ANSI
3、American National Standards Institute.Bollean addition In Boolean algebra,the OR operation.第3页/共116页Boolean algebra The mathematics of logic circuits.CMOS Complementary metal-oxide semiconductor;a class of integrated logic that is implemented with a type of field-effect transistor.Complementation In
4、version.LOW is the complement of HIGH,and 0 is the complement of 1.第4页/共116页ECL Emitter-coupled logic;a class of integrated logic circuit that is implemented with nonsaturating bipolar junction transistors.Enable To active or put into an operational mode;an input on a logic circuit that enable its o
5、peration.第5页/共116页Exclusive-NOR(XNOR)gateA logic gate that produces a LOW output only when its two inputs are at oppsite levels.Exclusive-OR(XOR)gateA logic gate that produces a HIGH output only when its two inputs are at oppsite levels.第6页/共116页Fan-out The number of equivalent gate inputs of the sa
6、me family series that a logic gate can drive.IEEE Institute of Electrical and Electronic EngineersNAND gate A logic gate that produces a LOW output only when all of the inputs are HIGH.第7页/共116页Negative-AND An equivalent NOR gate operation in which the HIGH is the active output when all inputs are L
7、OW.Negative-OR An equivalent NAND gate operation in which the HIGH is the active output when one or more of the inputs are LOW.第8页/共116页NOR gate A logic gate in which the output is LOW when one or more of the inputs are HIGH.OR gate A logic gate that produces a HIGH output when one or more of the in
8、puts are HIGH.第9页/共116页Power dissipation The product of the dc supply voltage and the dc supply current in an electronic circuit;the amount of power required by a circuit.Propagation delay time The time interval between the occurrence of an input transition and the occurrence of the corresponding ou
9、tput transition in a logic circuit.第10页/共116页Speed-power product A performance parameter that is the product of the propagation delay time and the power dissipation in a logic circuit.Truth table A table showing the inputs and corresponding output(s)of a logic circuit.第11页/共116页TTL Transistor-transi
10、stor logic;a class of integrated logic circuit that uses bipolar junction transistors.Unit load A measure of fan-out.One gate input represents one unit load to the output of a gate within the same IC family.第12页/共116页The inverter (NOT circuit)performs the operation called inversion or complementatio
11、n.The inverter changes one logic level to the opposite level.In terms of bits,it changes a 1 to 0 and a 0 to 1.(Traditional logic Gate Symbol)3.1 THE INVERTER 4.第13页/共116页(ANSI/IEEE Logic Gate Symbol)A Rin(input)X (output)+5v R(NOT Gate A logic gate with only one input and one output that will inver
12、t the binary input.)115.第14页/共116页Inverter Truth Table Input Output LOW(0)HIGH(1)HIGH(1)LOW(0)Inverter OperationHIGH(1)LOW(0)HIGH(1)LOW(0)t1 t2Input pulse t1 t2Output pulse6.第15页/共116页Timing DiagramsRecall from Chapter 1 that a timing diagram is a graph that accurately displays the relationship of t
13、wo or more waveforms with respect to each other on a time basis.Inputoutput t1 t2Timing diagram For the above Fig.7.第16页/共116页Logic Expression for the Inverter X=A (X equals not A.)AX=AThe inverter complements an input variable.8.第17页/共116页The AND gate is one of the basic gates from which all logic
14、functions are constructed.An AND gate can have two or more inputs and performs what is known as logical multiplication.The term gate is used to describe a circuit that performs a basic logic operation.3.2 THE AND GATE 9.第18页/共116页ABXXABLogical Operation of the AND Gate The AND gate produces a HIGH o
15、utput only when all of the inputs are HIGH.When any of the inputs is LOW,the output is LOW.The gate operation can be stated as follows:For a 2-input AND gate,output X is HIGH if inputs A and B are HIGH;X is LOW if either A or B is LOW,or if both A and B are LOW.&10.第19页/共116页AND Gate Truth Table Inp
16、ut OutputA B X 0 0 0 0 1 0 1 0 0 1 1 111.For any AND gate,regardless of the number of inputs,the output is HIGH only when all inputs are HIGH.第20页/共116页Pulsed OperationABX10110t11111000001t2t3t4t5ABX12.第21页/共116页Logic Expression for the AND GateBoolean multiplication0 0=00 1=01 0=01 1=1Boolean multi
17、plication is the same as the AND function.13.第22页/共116页X=AB (X equals A and B)14.ABX=ABABX=ABCACX=ABCDCBD第23页/共116页Application ExamplesThe AND Gate as an Enable/Inhibit deviceCOUNTERCLOCKDECODER AND DISPLAYRESETINA151S1S第24页/共116页ALARMCIRCUIT 30S TIMERIGNITIONON=HIGHOFF=LOWSEATBELTBUCKLED=LOWUNBUCKL
18、E=HIGH16A Seat Belt Alarm SystemABC第25页/共116页The OR gate is another of the basic gates from which all logic functions are constructed.An OR gate can have two or more inputs and performs what is known as logical addition.1ABXABX 3.3 THE OR GATE 17.第26页/共116页Logic Operation for the OR GateThe OR gate
19、produces a HIGH on the output when any of the inputs is HIGH.The output is LOW only when all of the inputs are LOW.ABXRD2D1ABX5VR18.第27页/共116页OR Gate Truth Table Input OutputA B X 0 0 0 0 1 1 1 0 1 1 1 119.The OR gate produces a HIGH on the output when any of the inputs is HIGH.第28页/共116页Pulsed Oper
20、ationABX1001t110110011t2t3t4ABX20.第29页/共116页Logic Expression for the OR GateBoolean addition0+0=00+1=11+0=11+1=1Boolean addition is the same as the OR function.21.第30页/共116页X=A+B (X equals A or B)ABX=A+BABX=A+B+CACX=A+B+C+DCBD22.第31页/共116页Application ExamplesHIGH=OpenAlarm LOW=ClosecircuitLightOpen
21、door/windowsensor23.第32页/共116页The NAND gate is a popular logic element because it can be used as a universal gate;that is,NAND gates can be used in combination to perform the AND,OR,and inverter operations.The universal property of the NAND gate will be examined thoroughly in Chapter 5.3.4 THE NAND
22、GATE 24.第33页/共116页&ABXXABLogical Operation of the NAND Gate The NAND gate produces a LOW output only when all the inputs are HIGH.When any of the inputs is LOW,the output will be HIGH.The gate operation can be stated as follows:For a 2-input NAND gate,output X is LOW if inputs A and B are HIGH;X is
23、HIGH if either A or B is LOW,or if both A and B are LOW.25.第34页/共116页5VR5VBXANDNOTRRA26.第35页/共116页Truth Table of a 2-input NAND gate.Input OutputA B X 0 0 1 0 1 1 1 0 1 1 1 027.The NAND gate produces a LOW output only when all the inputs are HIGH.第36页/共116页Logic Expression for the NAND GateX=A B (X
24、equals not A and B)=A+B NAND Negative-OR28.Inputs OutputA B AB A+B 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 0第37页/共116页 The NOR gate,like the NAND gate,is a useful logic element because it can also be used as a universal gate;that is,NOR gates can be used in combination to perform the AND,OR,and inverter opera
25、tions.The universal property of the NOR gate will be examined thoroughly in Chapter 5.3.5 THE NOR GATE 29.第38页/共116页1XABXLogic Operation for the NOR GateThe NOR gate produces a LOW output when any of its inputs is HIGH.Only when all of its inputs are LOW is the output HIGH.30.第39页/共116页5VR5VABXORNOT
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