1、电气专业中英文对照翻译毕业设计(此文档为word格式,下载后您可任意编辑修改!)Chapter 3 Digital Electronics3.1 IntroductionA circuit that employs a numerical signal in its operation is classified as a digital circuitputers,pocket calculators, digital instruments, and numerical control (NC) equipment are common applications of digital ci
2、rcuits. Practically unlimited quantities of digital information can be processed in short periods of time electronically. With operational speed of prime importance in electronics today,digital circuits are used more frequently. In this chapter, digital circuit applications are discussed.There are m
3、any types of digital circuits that electronics, including logic circuits, flip-flop circuits, counting circuits, and many others. The first sections of this unit discuss the number systems that are basic to digital circuit understanding. The remainder of the chapter introduces some of the types of d
4、igital circuits and explains Boolean algebra as it is applied to logic circuits.3.2 Digital Number SystemsThe most common number system used today is the decimal system,in which 10 digits are used for counting. The number of digits in the system is called its base (or radix).The decimal system,there
5、fore, the counting process. The largest digit that can be used in a specific place or location is determined by the base of the system. In the decimal system the first position to the left of the decimal point is called the units place. Any digit from 0 to 9 can be used in this place.When number val
6、ues greater than 9 are used,they must be expressed with two or more places.The next position to the left of the units place in a decimal system is the tens place.The number 99 is the largest digital value that can be expressed by two places in the decimal system.Each place added to the left extends
7、the number system by a power of 10.Any number can be expressed as a sum of weighted place values.The decimal number 2583,for example, is expressed as (21000)+(5100)+(810)+(31).The decimal number system is commonly used in our daily lives. Electronically, the binary system.Electronically,the value of
8、 0 can be associated with a low-voltage value or no voltage. The number 1 can then be associated with a voltage value larger than 0. Binary systems that use these voltage values are said to , this chapter.The two operational states of a binary system,1 and 0,are natural circuit conditions. When a ci
9、rcuit is turned off or the off, or 0,state. An electrical circuit that the on,or 1,state. By using transistor or ICs,it is electronically possible to change states in less than a microsecond. Electronic devices make it possible to manipulate millions of 0s and is in a second and thus to process info
10、rmation quickly.The basic principles of numbering used in decimal numbers apply in general to binary numbers.The base of the binary system is 2,meaning that only the digits 0 and 1 are used to express place value. The first place to the left of the binary point,or starting point,represents the units
11、,or is,location. Places to the left of the binary point are the powers of 2.Some of the place values in base 2 are 2=1,2=2,2=4,2=8,2=16,25=32,and 26=64.When bases other than 10 are used,the numbers should example.The number 100(read“one,zero,zero, base 2”)is equivalent to 4 in base 10,or 410.Startin
12、g with the first digit to the left of the binary point,this number this method of conversion a binary number to an equivalent decimal number,write down the binary number first. Starting at the binary point,indicate the decimal equivalent for each binary place location where a 1 is indicated. For eac
13、h 0 in the binary number leave a blank space or indicate a 0 Add the place values and then record the decimal equivalent.The conversion of a decimal number to a binary equivalent is achieved by repetitive steps of division by the number 2.When the quotient is even with no remainder,a 0 is recorded.W
14、hen the quotient process continues until the quotient is 0.The binary equivalent consists of the remainder values in the order last to first.3.2.2 Binary-coded Decimal (BCD) Number SystemWhen large numbers are indicated by binary numbers,they are difficult to use. For this reason,the Binary-Coded De
15、cimal(BCD) method of counting was devised. In this system four binary digits are used to represent each decimal digit.To illustrate this procedure,the number 105,is converted to a BCD number.In binary numbers, To apply the BCD conversion process,the base 10 number is first divided into digits accord
16、ing to place values.The number 10510 gives the digits 1-0-5.Converting each displayed by this process with only 12 binary numbers. The between each group of digits is important when displaying BCD numbers.The largest digit to be displayed by any group of BCD numbers is 9.Six digits of a number-codin
17、g group are not used at all in this system.Because of this, the octal (base 8) and the binary form but usually display them in BCD,octal,or a base 8 system is 7. The place values starting at the left of the octal point are the powers of eight: 80=1,81=8,82=64,83=512,84=4096,and so on. The process of
18、 converting an octal number to a decimal number is the same as that used in the binary-to-decimal conversion process. In this method, equivalent decimal is 25810.Converting an octal number to an equivalent binary number is similar to the BCD conversion process. The octal number is first divided into
19、 digits according to place value. Each octal digit is then converted into an equivalent binary number using only three digits.Converting a decimal number to an octal number is a process of repetitive division by the number 8.After the quotient determined,the remainder is brought down as the place va
20、lue.When the quotient is even with no remainder,a 0 is transferred to the place position.The number for converting 409810 to base 8 is 100028.Converting a binary number to an octal number is an important conversion process of digital circuits. Binary numbers are first processed at a very output circ
21、uit then accepts this signal and converts it to an octal signal displayed on a readout device.must first be divided into groups of three,starting at the octal point.Each binary group is then converted into an equivalent octal number.These numbers are then combined,while remaining in their same respe
22、ctive places,to represent the equivalent octal number.3.2.4 Hexadecimal Number SystemThe digital systems to process large number values.The base of this system is 16,which means that the largest number used in a place is 15.Digits used by this system are the numbers 0-9 and the letters A-F. The lett
23、ers A-P are used to denote the digits 10-15,respectively. The place values to the left of the .The process of changing a proper digital order.The place values,or powers of the base,are then positioned under the respective digits in step 2.In step 3,the value of each digit is recorded. The values in
24、steps 2 and 3 are then multiplied together and added. The sum gives the decimal equivalent value of a . Initially,the converted to a binary number using four digits per group. The binary group is combined to form the equivalent binary number.The conversion of a decimal number to a ,as with other num
25、ber systems. In this procedure the division is by 16 and remainders can be as large as 15.Converting a binary number to a groups of four digits,starting at the converted to a digital circuit-design applications binary signals are far superior to those of the octal,decimal,or be processed very easily
26、 through electronic circuitry,since they can be represented by two stable states of operation. These states can be easily defined as on or off, 1 or 0,up or down,voltage or no voltage,right or left,or any other two-condition states. There must be no in-between state.The symbols used to define the op
27、erational state of a binary system are very important.In positive binary logic,the state of voltage,on,true,or a letter designation (such as A ) is used to denote the operational state 1 .No voltage,off,false,and the letter A are commonly used to denote the 0 condition. A circuit can be set to eithe
28、r state and will remain in that state until it is caused to change conditions.Any electronic device that can be set in one of two operational states or conditions by an outside signal is said to be bistable. Relays,lamps,switches,transistors, diodes and ICs may be used for this purpose. A bistable d
29、evice .By using many of these devices,it is possible to build an electronic circuit that will make decisions based upon the applied input signals. The output of this circuit is a decision based upon the operational conditions of the input. Since the application of bistable devices in digital circuit
30、s makes logical decisions,they are commonly called binary logic circuits.If we were to draw a circuit diagram for such a system,including all the resistors,diodes,transistors and interconnections,we would face an overwhelming task, and an unnecessary one.Anyone who read the circuit diagram would in
31、their mind group the components into standard circuits and think in terms of the system functions of the individual gates. For this reason,we design and draw digital circuit with standard logic symbols. Three basic circuits of this type are used to make simple logic decisions.These are the AND circu
32、it, OR circuit, and the NOT circuit.Electronic circuits designed to perform logic functions are called gates.This term refers to the capability of a circuit to pass or block specific digital signals.The logic-gate symbols are shown in Fig.3-1.The small circle at the output of NOT gate indicates the
33、inversion of the signal. Mathematically,this action is described as A=.Thus without the small circle,the rectangle would represent an amplifier (or buffer) with a gain of unity.An AND gate the 1 state simultaneously,then there will be a 1 at the output.The AND gate in Fig. 3-1 produces only a 1 out-put when A and B are both
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