An Introduction To Logic Gates Essay

An Introduction To Logic Gates Essay Logic circuit is one that behaves like a switch, i.e. a two-positive devise with ON or OFF states. This is termed as binary device, in which the ON state is represented by 1 and the OFF state by 0. We require devising a logic statement which can be expressed in only one of two forms. For instance As you may know, computers store information in gigabytes, megabytes, and so on. The fundamental unit of storage is the bit or binary digit, which is similar to a switch. Like a switch, which has two states on or off, the bit has two states 1 and 0 (sometimes represented as true and false. We use this abstraction to represent numbers with the binary number system. In order to perform calculations, the computer manipulates bits by means of logical operations, which use inputs to yield a particular output based on the input bits states. To explicitly define the logic, we use truth tables which express the outputs in terms of all combinations of inputs. Examples of truth tables for logical operations are given below: Logical AND (i.e. A.B=C) Logical OR (i.e. A+B=C) Logical NOT (i.e. A) A useful way of representing these logical operations is by means of logic gates, which are pictorial representations of the logic. The most basic logic gates, which illustrate the Boolean logic of the above truth tables, are AND logic gate C=A.B OR logic gate C=A+B NOT logic gate B=A Using the logic gates above, we can create schematics of more complicated circuits. These combinational logic circuits involve feeding the output of one gate to the input of another gate. This allows us to create useful circuits that function according to our needs. Examples are provided below: F=X.Y.Z F=X+Y+Z F=X+Y.Z We probably know that calculators and computers store decimal (0-9) numbers as long strings of zeros and ones in a form called binary code. Each number is stored using microscopic electronic switches called transistors. Its easy to store binary numbers simply by switching transistors on and off. Switching on a transistor stores a number one; switching it off stores a zero. So storing numbers is easy. But how can you add, subtract, multiply, and divide using nothing but electric currents? Calculators and computers do these using clever electronic circuits called logic gates. Fig:1.1 Photo: A gate can keep we out or let we into a field. In the same way, a microscopic logic gate is a barrier in an electronic circuit that can let electricity through or stop it flowing altogether. Put lots of logic gates together and you make a machine thats capable of basic mathematical reasoning. TYPES OF LOGIC GATES: Logic gates: circuits that compare A logic gate might sound horribly complex, but its simply an electric circuit with two inputs and an output. It receives two incoming electric currents, compares them, and sends on a new, outgoing electric current depending on what it finds. A logic gate is a bit like a doorman or bouncer who is allowed to let people into a nightclub only if they pass certain tests. There are quite a few different types of logic gate, the most common of which are called AND, OR, NOT, XOR (Exclusive Or), NAND (NOT AND), and NOR (NOT OR). Lets look at the three simpler ones, AND, OR, and NOT: AND Suppose we went to a nightclub where the doormans job is to enforce a simple rule: Everyone in our group must wear a tie to come in. We went along with a friend one night. If were both wearing ties, youll get in. If only one of we is wearing a tie, or if neither of us is, neither of you will get in. An AND logic gate works the same way with two electrical inputs. If both inputs are switched on (that is, carry a number 1), the output will be 1 as well. Otherwise the output will be 0. In electronics, we can represent an AND gate with this little symbol. Three ways in which the gate can work are shown below. OR Were not wearing a tie, so you go to another club further down the street. Here, the person on the door is enforcing a different rule: A group of people can come in if any one of them is a member. If either we or our friend is a member, or if you both are members, we can both come in. If neither of we is a member, youre both left out in the cold. An OR logic gate works this way with two electrical inputs. If either input is switched on (that is, carries a number 1), the output will be 1 as well. Otherwise the output will be 0. In electronics, we represent an OR gate with a different symbol. Three ways in which it can work are shown beneath: NOT So far, weve failed to get into either of the clubs. But theres one last hope: you know a friend is having a party a few streets away. The only trouble is, theres a really argumentative and contrary person on the door. He talks to each person in turn as they approach him. If youre nice and polite, he shouts abuse at you and turns you away. But if youre rude to him, he likes that for some reason and lets you in. In other words, he does exactly the opposite of what youd expect! In electronics, theres a logic gate that works in the same, contrary way and its called a NOT gate or invertor. Unlike AND and OR gates, it has only one input and one output. The output is exactly the opposite of the input, so if the input is a 0, the output is a 1 and vice versa. Heres how we represent a NOT in electronics. Two ways it can work are shown beneath. The other three common logic gates are variations on these three. XOR (Exclusive OR) is like an OR, but it switches off if both the inputs are switched on. NAND is just like AND, only the end result is swapped over (so where AND produces an output of 1, NAND produces an output of 0). NOR is like OR with the end result swapped over in the same way. Calculators can do all the things they need to do using different combinations of logic gates. Its logic gates that control how the display works in a calculator and more logic gates that figure out the results of calculations. Lets take a closer look NAND gate This is a NOT-AND gate which is equal to an AND gate followed by a NOT gate. The outputs of all NAND gates are high i any of the inputs are low. The symbol is an AND gate with a small circle on the output. The small circle represents inversion.   NOR gate This is a NOT-OR gate which is equal to an OR gate followed by a NOT gate. The outputs of all NOR gates are low if any of the inputs are high. The symbol is an OR gate with a small circle on the output. The small circle represents inversion.   EXOR gate The Exclusive-OR gate is a circuit which will give a high output if either, but not both, of its two inputs are high. An encircled plus sign () is used to show the EOR operation. EXNOR gate The Exclusive-NOR gate circuit does the opposite to the EOR gate. It will give a low output if either, but not both, of its two inputs are high. The symbol is an EXOR gate with a small circle on the output. The small circle represents inversion. The NAND and NOR gates are called universal functions since with either one the AND and OR functions and NOT can be generated. Note: A function in sum of products form can be implemented using NAND gates by replacing all AND and OR gates by NAND gates. A function in product of sums form can be implemented using NOR gates by replacing all AND and OR gates by NOR gates. IMPLEMENTATION OF LOGIC GATES FIG: 1.2 130 ELECTRONIC CALCULATOR   The Friden 130 uses diode-resistor OR and AND logic gates, with transistor-based inverter, buffer, and flip-flop devices. It performs math operations in bit-serial form, using the magnetostrictive delay line as the medium for storing its working registers. Logic levels are 0 Volts representing logic 1, and -12 Volts (nominally) representing logic 0. The delay line input transducer is driven with a pulse of approximately 20V, and by the time the signal makes it to the other end of the delay line, the voltage induced in the transducer is approximately 35mV, or 35/1000ths of a volt. Digits are stored within the delay line as a series of pulses arranged in groups for each digit. Zero pulses represent a zero, and nine pulses represent a nine, with the numbers in-between represented by a number of pulses matching the number. As the pulses exit the delay line, they are amplified and fed into the counters (the A and/or D counters), which count the number of pulses in the digit to form a uniq ue five-bit identifier that represents the number. The counter registers are not configured as counters in the usual binary sense. They are instead configured as five stage switch-tail shift registers, such that they count in a sequence of shifting 1s. For example; 0 is represented as 00000; 1 as 10000; 2 as 11000; 3 as 11100; 4 as 11110; 5 as 11111; with 6 as 01111, and ending with 9 as 00001. With five flip flops, each counter can represent the numbers zero through nine as unique combinations of bit patterns. In terms of applying logic gates to real world applications, many gates can be used in Figure1`.3CEP-1114 Piezo Buzzer Frequency processing. For example, when dealing with piezo audio transducers such as the CEP-1114, an oscillating frequency signal is require to produce a sound pattern from the buzzer.   Figure 3: AND gate signal output wave generator such as an oscilloscope or a programmed PIC must be logically processed with a second frequency signal to create a combination of high/low outputs which will turn the Buzzer on and off creating a sound pattern. So if you used a Square-wave signal from a PIC as one input into an AND gate and a second varying frequency as the other input, it is proven due to AND gate logic that when both signals are high the buzzer will produce a sound, and any other combination will turn the buzzer off. Furthermore, as you can see from Figure 3 on the left, the output is only high when both Input A and Input B are high. If Input B was changed or altered, this would alter the output signal sent to the buzzer. Imagine that Input B was stretched so that only one period was observed in the time give rather than two periods. This would extent the time that Input B is high and would increase the time that the output is high. Additionally, if variation of the waveform inputs is difficult or impossible, variation of the output can still be accomplished by simply changing the logic gate implemented. If the AND gate currently being used was replaced with a NAND gate, the output would be completely reversed. Every time the output was high using the AND gate will now be low, and every time the output was low will now be high. Conclusion Logic gates come in all shapes and sizes, and whether they are used in combinations or individually, they provide the user with many options and solutions to problems which may appear difficult at first. Furthermore, these seven basic logic gates ease the complexity of Boolean algebra and allow for simple application in electronics and circuit analysis. These gates can be used in almost any situation such as comparison of frequencies when developing filters in communication or in more mechanical settings when using choppers and inverters which compare input and output currents to determine modulating indexes. Figure 2: CEP-1114 Piezo Buzzer FLIP FLOPS Flip flops are actually an application of logic gates. With the help of Boolean logic you can create memory with them. This is the most basic idea of a Random Access Memory [RAM]. If the logic gates are designed correctly, they will be helpful in remembering the input value given to them. A higher application of flip flops is helpful in designing better electronic circuits. The main use of flip flops is the implementation of a feedback circuit. As a memory relies on the feedback concept, flip flops can be used to design it. Given below is a simple feedback circuit using two inverter logic gates. Take a look. Though this circuit is not good for practical electronic circuits, it will help you to get a clear idea on what a feedback circuit is. When the value of the output Q happens to be 0, it always remains 0. If the output happens to be 1, it always remains 1 There are mainly four types of flip flops that are used in electronic circuits. They are The basic flip flop or S-R Flip Flop Delay Flip Flop [D Flip Flop] J-K flip flop T flip flop 1. S-R Flip Flop The SET-RESET flip flop can be designed with the help of two NOR gates and also two NAND gates. These flip flops are also referred to as S-R Latch. S-R Flip Flop using NOR Gate The flip flop has mainly two inputs, called the SET [S] and RESET [R]. There are also two outputs, Q and Q. The diagram and truth table is shown below. S-R Flip Flop using NOR Gate From the diagram it is evident that the flip flop has mainly four states. They are S=1, R=0-Q=1, Q=0 This state is also called the SET state. S=0, R=1-Q=0, Q=1 This state is known as the RESET state. In both the states you can see that the outputs are just compliments of each other and that the value of Q follows the value of S. S=0, R=0-Q Q = Remember If both the values of S and R are switched to 0, then the circuit remembers the value of S and R in their previous state. S=1, R=1-Q=0, Q=0 [Invalid] This is an invalid state because the values of both Q and Q are 0. They are supposed to be compliments of each other. Normally, this state must be avoided. S-R Flip Flop using NAND Gate The circuit of the S-R flip flop using NAND Gate and its truth table is shown below. S-R Flip Flop using NAND Gate Like the NOR Gate S-R flip flop, this one also has four states. They are S=1, R=0-Q=0, Q=1 This state is also called the SET state. S=0, R=1-Q=1, Q=0 This state is known as the RESET state. In both the states you can see that the outputs are just compliments of each other and that the value of Q follows the compliment value of S. S=0, R=0-Q=1, Q =1 [Invalid] If both the values of S and R are switched to 0 it is an invalid state because the values of both Q and Q are 1. They are supposed to be compliments of each other. Normally, this state must be avoided. S=1, R=1-Q Q= Remember If both the values of S and R are switched to 1, then the circuit remembers the value of S and R in their previous state. Clocked S-R Flip Flop It is also called a Gated S-R flip flop. The invalid state can only be removed by using a bistable SR flip-flop that can change outputs when certain invalid states are met regardless of the condition of either the Set or the Reset inputs. For this, a clocked S-R flip flop is designed by adding two AND gates to a basic NOR Gate flip flop. The circuit diagram and truth table is shown below. Clocked S-R Flip Flop A clock pulse [CP] is given to the inputs of the AND Gate. In the beginning the outputs of both the AND Gates remain 0 until the value of CP is 0. When a pulse is given the value of CP turns 1. This makes the values at S and R to pass through the NOR Gate flip flop. But when both the S and R values turn 1, the HIGH value of CP causes both of them to turn to 0 for a short moment. As soon as the pulse is removed, the flip flop state becomes intermediate. Thus either of the two states may be caused, and it depends on whether the set or reset input of the flip-flop remains a 1 longer than the transition to 0 at the end of the pulse. Thus the invalid states can be eliminated. 2. D Flip Flop The circuit diagram and truth table is given below. D Flip Flop D flip flop is actually a slight modification of the above explained clocked SR flip-flop. From the figure you can see that the D input is connected to the S input and the complement of the D input is connected to the R input. The D input is passed on to the flip flop when the value of CP is 1. When CP is HIGH, the flip flop moves to the SET state. If it is 0, the flip flop switches to the CLEAR state. To know more about the triggering of flip flop click on the link below. TAKE A LOOK :  TRIGGERING OF FLIP FLOPS TAKE A LOOK :  MASTER-SLAVE FLIP FLOP CIRCUIT 3. J-K Flip Flop The circuit diagram and truth-table of a J-K flip flop is shown below. J-K Flip Flop A J-K flip flop can also be defined as a modification of the S-R flip flop such that it is a refinement at the indeterminate state of the SR flip flop. The inputs J and K behave just like the S and R inputs of the S-R flip flop. The letter J stands for SET and the letter K stands for CLEAR. When both the inputs J and K have a HIGH state, the flip-flop is designed to switch to its complement state. So if the value of Q was 1, it switches to Q=0 and if the value of Q was 0 it switches to Q=1. Two 3-input AND Gates are used in the circuit. The output Q of the flip flop is given as a feedback to the input of the AND along with other inputs like K and clock pulse [CP]. So, the flip flop gets a CLEAR signal when the value of CP is 1 only if the value of Q was earlier 1. Similarly output Q of the flip flop is given as a feedback to the input of the AND along with other inputs like J and clock pulse [CP]. So the output becomes SET when the value of CP is 1 only if the value of Q was earlier 1. The output may be repeated in transitions once they have been complimented for J=K=1 because of the feedback connection in the JK flip-flop. This can be avoided by setting a time duration lesser than the propagation delay through the flip-flop. The restriction on the pulse width can be eliminated with a master-slave or edge-triggered construction. 4. T Flip Flop This is a much simpler version of the J-K flip flop. Both the J and K inputs are connected together and thus are also called a single input J-K flip flop. When clock pulse is given to the flip flop, the output begins to toggle. Here also the restriction on the pulse width can be eliminated with a master-slave or edge-triggered construction. Take a look at the circuit and truth table below. T Flip Flop Conclusion Logic gates come in all shapes and sizes, and whether they are used in combinations or individually, they provide the user with many options and solutions to problems which may appear difficult at first. Furthermore, these seven basic logic gates ease the complexity of Boolean algebra and allow for simple application in electronics and circuit analysis. These gates can be used in almost any situation such as comparison of frequencies when developing filters in communication or in more mechanical settings when using choppers and inverters which compare input and output currents to determine modulating indexes

Essay --

In today’s society, no individual is free from discrimination. Discrimination can be defined as looking down on an individual or group because of sex, race, nationality or certain personality characters. Race, gender, disability, sex, age, religion, national origin, color, and marital status are the main features work place discrimination. It can also happen with regards to the terms and conditions of work for example salary, work hours, paid leave, promotions, work security and industrial health and safety. Workplace discrimination can be seen in all ranks of job and is it extremely expensive to businesses. Most corporations do not support this act because it is considered to be damaging and promotes disparities. According to (craig 2007), billions of dollars goes wasted annually because of work place discrimination or harassment. Work place discrimination can happen based on some features which are fairly different from workers performance. The damaging effect of this conduc t can be high as it decreases job performance, productivity and exposes the organization to costly lawsuit. However, businesses that places more importance on equal opportunities in the work place are tactically competitive than those that are discriminative. According (Craig, R 2007), businesses that are said to be discriminative are in a competitive disadvantages because discrimination disregard all eligible workers who are skillful of contributing to the overall purpose of the business. Appropriate ethics policies related to nondiscrimination issues There are a large number of well-established policies associated to work place discrimination. These policies prohibit any form of discriminatory practices. Businesses are obliged to obey where policies against... ...resented. Implementation steps for these policies All corporations requesting to build a workplace atmosphere in which discriminatory conduct are not accepted can take several steps towards the reaching of this objective. Policies of all organisations should clearly stipulate rules against all forms of discrimination. Equal opportunity statement must be clearly stated and should protect any employee who raises concerns of discrimination. The prevention of discrimination conduct must be part of the service contract of all workers. The prevention of discrimination conduct must be incorporated in the service agreement. Corporations must educate its employees on the importance of all forms of discrimination and frequently prompt them about the consequences of it. There should also be numerous avenues in which complaints about discrimination can be addressed or handled.

GCSE media studies coursework Essay

In this essay I will be comparing two articles taken from local newspapers in different areas. I will be looking at the techniques used in each article and their effectiveness. I will use this comparison to eventually decide which article is the more effective of the two. The two headlines from the articles are quite different. ‘Inches from tragedy’ is a large, bold headline written in a way that makes you want to see what the headline is talking about, as it sounds serious. ‘Firemen free bathroom tot’ on the other hand is quite small for a headline and only really uses one emotive word, free, making it sound like the child was imprisoned, which is worse than what actually happened. I think that ‘Inches from tragedy’ is the more effective of the two headlines because it grabs the readers attention and uses a lot of emotive language in such a short space to make the reader carry on reading. The language used in these articles is quite emotive in both cases. Both articles use exaggeration to tell you what they are trying to say. This is especially evident from quotes like â€Å"escaped death by inches† and â€Å"impossible for him to get out† as they are telling the truth about the events that occurred in each case, but are blatantly over-emotive to make the article more interesting. The firemen free bathroom tot article especially exagerrates the situation as it makes a toddler stuck in a bathroom sound like a major rescue attempt, whereas the other article Inches from tragedy features a very serious situation anyway. I think that both articles use emotive language very well, and that they are equally good at getting there point across through using language. Both of the articles feature one long, main interview and one shorter interview towards the end of the article. The interviews have been included in each case to give the reader an account of the events in the article from one of the people involved. This is a good idea as people who were actually involved in the events of the article will be able to give more information on what actually happened, and will probably know things that no-one else does. Having interviews also makes the reader sympathise with the people involved, especially if it is coming from one of the people mentioned in the main first paragraph of the article. The people who put together the articles must make sure that everything they include in the interviews is relevant and that they are not too long. I think that the article that uses interviews and quotes better is probably Inches from tragedy, because all the information given is relevant to and informative about what happened. I also think this because the interviews featured are not too long and leave room in the article for other information. Having a picture in an article is a good idea, because it lets the reader see exactly who was involved and let them see what effect the events of the article have had on them if at all. It can also give extra visual information to back up what is said in the article. This is especially evident in the picture from Inches from tragedy as it not only gives a picture of the avalanche victims, but also diagrams and labelled photos to show exactly what happened and where and when it happened. Journalists may also include pictures in their articles because it breaks it up and makes it seem like less to read. An article consisting entirely of text can seem quite daunting. Again Firemen free bathroom tot is nicely done with a good picture of the firemen and the child they ‘rescued’, but Inches from tragedy uses it’s picture better because as well as a photo of the two brothers caught in the avalanche, it has informative and interesting diagrams as backup to the article. Using fact and opinion in an article is good because it lets the reader compare an outside factual account of what happened with an opinion given from a reliable source. These two things will probably differ from each other, so it is good to give the reader both so that they can compare the two to see what actually happened. As well as differing from each other fact and opinion also back each other up on certain points of the article, such as the effect something has had on certain people. Fact and opinion can add drama to a piece, but the journalist would be better off making sure that they tie in with one-another, rather than being totally different. This would give well backed up accounts of what happened, adding a sense of drama to the article. Both articles use fact and opinion very well and I think are equally successful at giving well backed up information about what happened in each. These articles are obviously aimed at different audiences. Inches from Tragedy is found in the Metro, a newspaper which is probably aimed at city types and people who live in places dominated by big news. Firemen free bathroom tot on the other hand is found in the Bury St. Edmunds Citizen which is probably aimed at the people who live in the town of Bury St. Edmunds where news like that in this article would probably be big in the town, but not many other places. This means that the article from the Metro has been written in an interesting and emotive style, but is condensed to a size that can be read quite quickly. It also contains just the basic facts about what happened, backed up by good interviews. The other article on the other hand is about the same length, but contains a lot of information on what happened, backed up by fairly short interviews with the people involved. This more long-winded style is probably better suited to an article of this nature. The final effect on the articles is that Inches from tragedy is interesting to anyone because of the use of language and pictures, but Firemen free bathroom tot would only be found interesting by the people of Bury St. Edmunds. However, this is probably what both articles wanted to achieve anyway, so they are both quite effective at reaching their target audience. Overall, I think that both articles are effective at getting their story across to the people intended. They both feature emotive language, a large headline, interviews and a picture. Inches from tragedy was very well put together and extremely informative. The language used and the picture are two of this article’s main strong points, but it could do with more information on what happened and how instead of the excess of interviews. Firemen free bathroom tot is also very well written and is probably aimed at being something of a comedy article. It makes the situation sound major by using lots of exagerration and emotive language. However, sometimes the language used is a bit too much for the situation, as it isn’t anywhere near as serious as the article makes out. There is also quite a bit of irrelevant information in the article, such as the child looking at the fire engine. I think the most successful of these two articles has to be Inches from  Tragedy, because it is interesting, informative and not too long. It also backs up the information given in the articles by picking out relevant quotes and sections from interviews. The other article I feel doesn’t do this as well and so it just loses out.

What Makes People Happy - 854 Words

The Good Life The question of what makes people happy has been an ongoing argument for years. Happiness according to dictionary.com can be defined as the quality or state of being happy. There are two perspectives that focus on answering this question of self-happiness, the hedonic and eudaimonic. The Hedonic view (Subjective well-being) is the perspective of how people experience the quality of their lives. Hedonism is about knowing the fulfillment of pleasure. This type of pleasure is physical pleasure, which focuses on the feeling of happiness, satisfaction and enjoyment. Hedonism is often something that is done for the moment and is short-term, and it is thought that an increase in pleasure there will be a decrease in pain. Things such as drinking, eating, and sex would be examples of this because they are all short-term actions that give us pleasure. I agree with the Greek philosopher Aristippus viewpoint that â€Å"the goal of life is to experience the maximum amount of pleas ure.† (Aristippus) However I don’t not agree with the notion of Hedonic view as a whole. Living life in short-term burst of pleasure is not the ideal life I would like. I believe you should do things that will bring you long-term happiness and not just short-term. Also if you live your life in short burst of happiness you will have some positive effects and some negative effects. The positives being you got happiness and pleasure for the moment and the negative being that you are no longerShow MoreRelatedWhat Makes People Happy?836 Words   |  4 Pages 2017 What Makes People Happy? The question â€Å"what makes people happy?† is a very difficult question to answer just because it is one of those questions that can be interpreted in so many different ways. 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