Multiply and Accumulate Unit using Vedic Multiplier

Multiply and Accumulate Unit using Vedic Multiplier Design  and  Implementation  of  FPGA  based  64  bit  MA Cunitusing  VEDIC  Multiplier  and  Reversible  Logic  gates ABSTRACT: Now a days in VLSI technology size, power, and speed are the main constraints to design any circuits. In normal multipliers delay will be more and the number of computations also will be more. Because of that speed of the circuits designed with the normal multipliers will be low and it will consume more power. This paper describes Multiply and Accumulate Unit using Vedic Multiplier and DKG reversible logic gates. The Vedic multiplier is designed by using Urdhava Triyagbhayam sutra and the adder design is done by using reversible logic to perform high  speed operations. Reversible logic gates are also the  essential constraint for the promising field of Quantum computing. The Urdhava Triyagbhayam multiplier is used for the multiplication function to reduce partial products in the multiplication process and to get high concert and less area .The reversible logic is used to get less power. The MAC is designed using Verilog code, simulation,synthesis is done in both RTL compiler using Xilinx and implemented on Spartan 3e FPGA Board. KeyWords:MAC, Vedic multiplier, Reversible Gates I. INTRODUCTION Multiplication is the key in arithmetic operation and multiplier plays an important role in digital signal Processing. Unfortunately, the major source of power dissipation in digital signal processors is multipliers. In the past decade researchers developed multipliers with the help of CMOS logic which has all the disadvantages as discussed earlier. Therefore multipliers design for digital signal processing applications should be competent. So the proposed method is designed using pass logic principles, which shows improvements over CMOS designs. Pass logic principle based circuits are capable to accomplish superior performance in power, speed and area when implemented in VLSI[1]. Several case studies show that pass logic principle based design implements most functions with fewer transistors which reduces the overall capacitance than static CMOS; thus, resulting in low power and fast switching time. The Pass logic  standard based design is a capable, due to its better performance in power consumption, area and speed. thirty percent of the multiplier space is taken by the Booth encoder and selector logic [1-3]. So a improved design of Booth encoder and selector is essential. The main objective of this work is to design and implement new Booth encoders and selector logics which are hardware efficient and consequently power- aware.Various designs of these logic units are proposed in this work where the number of transistors needed are less when compared to previously designed units.The gate level implementations of these designs were tested for functionality using LoKon software gates (XNOR, XOR , NAND,NOR,AND,XOR-XNOR combination gate) and MUX used in these circuits were simulated and verified for functionality using TopSPICE. Due to the limitation in the numbers of transistor count in the TopSPICE, it was not capable to simulate the entire circuit in the transistor level. Further, these designs were used to build multiplier[2]. Multiplier is the need for higher word width for signal process applications. This design is scalable without any loss of merits. All the pass transistor circuits have been tested for fully restored voltage at the output[3]. Therefore, when these circuits are combined to form the whole multiplier voltage drop will not cause a problem. II. LITERATURE REVIEW Nareshnaik, SivaNagendra Reddy proposed Design of Vedic Multiplier for Digital Signal Processing Applications[1] .In this method design of adders is difficult and design may be complex and also its require more power. Anitha, Sarath Kumar proposed A 32 BIT MAC Unit Design Using Vedic Multiplier and Reversible Logic Gate design.In this paper they designed for 32 bit Multiplier.But most of the multipliers used in Digital signal processing applications 64 bit multipliers. So many researchers proposed many methods to design multipliers and adders.Among all the methods multiplier design with reversible logic gate design is the efficient method.In reversible gates also different reversible gate are available[4].Some researchers used Kogge stone Adders,some one used Toffiligates[5].DKG is the one of the gate used in the MAC design.This proposed method represents 64 bit MAC design using reversible logic gates. III. PROPOSEDMETHOD Multiply Accumulate (MAC) unit is designed by using Multipliers and adders both will be joined by an accumulate unit. The applications of MAC unit are Digital Signal Processors, microprocessors, and logic units and.MAC determines the speed and improves the performance of the entire system[6]. The proficient designs by MAC unit are Fast Fourier Transform(FFT/IFFT) ,Discrete Cosine Transform (DCT). Since, they are normally executed by inflexible application of multiplication and addition, the total system speed and performance depends on the speed of the addition and multiplication process speed in the system[7]. In most cases the delay in the architecture is due to the addition in parallel stages which we have to concentrate more to improve the speed. Finally we are going to compare our Vedic MAC unit with the Conventional MAC unit based on the parameters like Speed,area and power consumption[8]. A multiplying blockfunction can be conceded in threedifferent ways: conventional addition, partial product addition (PPA) and finally partial product Generation (PPG). The two bud vase materials that must be considered are raising the speed of MAC which is accumulator block partial and product reduction[9]. The 64 bit MAC design which will make use of Vedic multiplier and reversible logic gate can be accomplished in two stages. Firstly, multiplier stage, where a usual multiplier is replaced by Vedic multiplier using UrdhavaTriyagbhayam sutra from Vedic Mathematics.Multiplication is the primary operation of MAC unit. Speed, area, Power dissipation, consumptionand latency are the major concerns in the multiplier stage. So, to evade them, we will go for fast multipliers in different applications of DSP, networking, etc. There are mostly two major criterions that can possibly improve speed of the MAC units are sinking the partial products and because of that accumulator yoke is getting d ecreased. To perform the multiplication of N*N it requires approximately 2N-1 cross products of different widths and (log2N + 1) partial products. The partial products are obtained from Urdhava sutra is by Criss Cross Method. The maximum number of bits in partial products will lead to Critical path. The second part of MAC is Reversible logic gate. Loss of every bit of information in the computations that are not reversible is kT*log2 joules of heat energy are generated, where k is Boltzmanns constant and T the absolute temperature at which computation is performed. IV. DESIGN OF MAC ARCHITECTURE Fig 1: MAC Architecture The design of MAC architecture consists of 3 sub designs. Design of 64 X 64 bit Vedic Multiplier. Design of 128 bit DKG adder Design of Accumulator which integrates both multiplier and adder stages. Vedic Multiplier Vedic Mathematics is part of four Vedas  (books of wisdom). It is part of Sthapatya- Veda (book on civil engineering and architecture), which is an upa- veda (supplement) of Atharva Veda. Vedic Mathematics existed in ancient India and was revived by a popular mathematician, Sri Bharati Krishna Tirthaji. He divided Vedic mathematics into sixteen formulae(sutras). These formulae deal with Algebra, Analytical Geometry, Algebra, Trigonometry, Geometry etc. The ease in the Vedic mathematics sutras covers way for its application in several prominent domains of engineering like Signal Processing, VLSI and Control Engineering . 1) (Anurupye) Shunyamanyat 2) ChalanaKalanabyham 3) EkadhikinaPurvena 4) EkanyunenaPurvena 5) Gunakasamuchyah 6) Gunitasamuchyah 7) NikhilamNavatashcaramamDashatah 8) ParaavartyaYojayet 9) Puranapuranabyham 10) Sankalana- vyavakalanabhyam 11) ShesanyankenaCharamena 12) ShunyamSaamyasamuccaye 13) Sopaantyadvayamantyam 14) Urdhva-tiryakbhyam 15) Vyashtisamanstih 16) Yaavadunam Vedic Maths can be divided into sixteen different sutras to perform mathematical operations. Among these surtras the Urdhwa Tiryakbhyam Sutra is one of the most highly preferred algorithms for performing multiplication[11-14]. The algorithm is competent enough to be employed for the multiplication of integers as well as binary numbers. The term UrdhwaTiryakbhyam originated from 2 Sanskrit words Urdhwa and Tiryakbhyam which mean vertically and crosswise respectively.The mainadvantage of utilizing this algorithm in comparison with the existing multiplication techniques, is the fact that it utilizes only logical AND operations, half adders and full adders to complete the multiplication operation. Also, the partial products required for multiplication are generated in parallel and apriority to the actual addition thus saving a lot of processing time[15-17]. UrdhwaTiryakbhyam Algorithm Let us consider two eight bit numbers X(7:0) and Y(7:0) , where 7 signify Most Significant Bit and 0 represent Least Significant Bit. P0 to P15 signify each bit of the final computed product. It can be seen from equation (1) to (15), that P0 to P15 are calculated by adding partial products, which are calculated previously using the logical AND operation. The individual bits obtained from equations (1) to equation (15), in turn when concatenated produce the final product of multiplication which is represented in equation (16).The carry bits generated during the computation of the individual bits of the final product are represented from C(1) to C(30). The carry bits generated in (14) and (15) are ignored since they are redundant. Fig 2 : Pictorial Illustration of UrdhwaTiryakbhyam Sutra Graphically exemplifies the step by step procedure of multiplying two eight bit numbers using the Urdhwa Tiryakbyam Vedic Multiplication Sutra[20]. The black circles specify the bits of the multiplier and multiplicand, and the two-way arrows specify the bits to be multiplied in order to arrive at the individual bits of the final product. The hardware architecture of the 88 Urdhwa multiplier has been designed and shown in Fig 2. à ¯Ã¢â‚¬Å¡Ã‚ · Lowest quantum cost DKG Gate A 4 X 4 reversible DKG gate that preserve work singly as a reversible full adder and parallel adder is shown in below fig 5. If input A is zero, the DKG gate performed Full adder operation, and if input A is 1 then reversible logic gate performed Full subtractor operation. It has been confirmed that a reversible full- adder circuit requires at least two or three garbage outputs to make the distinctive[10][19]. output combinations Fig 3: 32 ÃÆ'-32 Vedic multiplier using 16 ÃÆ'- 16 Vedic multiplier Fig 4: 64ÃÆ'- 64 Vedic multiplier using 32x32Vedic multiplier V. DESIGN OF ADDERUSING Fig. 5a DKG gate Fig. 5b Parallel adder using DKG gate AccumulatorStage: Accumulator has an significant role in the DSP applications in different ranges. The register designed REVERSIBLE LOGICDKGGATE in the accumulator is used to add the multiplied Reversible logic is a distinct method diverse from other logic). Loss of information is not probable numbers. Multiplier, adder and an accumulator are forming the vital establishment for the MAC unit. The conventional MAC unit has a multiplic and and here. In this logic, the numbers of outputs are identical multiplier to do the basic multiplication and some to the number of inputs. General consideration for reversible logicgate parallel adders to add the partial products generated in  the previous step. To get the final multiplication output A Boolean function is reversible if and only if  we add the partial product to these results. Vedic all the values in the input set can be mapped with a single value in the output position. Landauer and Multiplier has put forward to intensify the action of the MAC Unit. Bennet both demonstrated that conventional irreversible circuits will  the usage of construct us to VI. RESULTS AND DISCUSSION power dissipation a circuit consisting of only reversible gates does not dissipate power. The following points necessity be reserved in mind to realize an optimized circuit: à ¯Ã¢â‚¬Å¡Ã‚ · Loops are not authorized à ¯Ã¢â‚¬Å¡Ã‚ · Minimum delay à ¯Ã¢â‚¬Å¡Ã‚ · Zero energy dissipation Fig 6: RTL Schematic of MAC Unit à ¯Ã¢â‚¬Å¡Ã‚ · Fan-out is not authorized The modified 64 bit  multiplier using Vedic à ¯Ã¢â‚¬Å¡Ã‚ · Garbage outputs must be small  multiplier and DKG adder is fast and design of MAC done using Xilinx. The above fig 7shows comparison between Verilog code using Xilinx. The below fig 6 shows the RTL Schematic of the proposed design. Logic Utilization 70000 No.of Slice FlipFlops 60000 No.of 4 input LUTs 50000 MAC design unit using different Adders. The number of LUTs and utilization of logic blocks in MAC design using CSA, RCA, KSA will be greater than DKG and speed is also more in MAC design using DKG. But it will take more area. Compare to array multipliers, baugh wooley multipliers and booths multipliers Vedic multipliers requires less area and performs operations at high speed. The below fig 8 shows the statistics results of MAC design Vedic Multiplier with different adders. In which DKG Adders has moderate delay. But it consumes very less power and it can be designed in small area. 40000 Number of occupied Slices Number of Slices containing only related logic 1000 900 800 30000 20000 10000 Number of Slices containing unrelated logic Total Number of 4 input LUTs Number used as logic Number used as Shift Registers 700 600 500 400 300 200 100 MAC Design using RCA MAC Design using CSA MAC Design using KSA MAC Design using DKG 0 Number of nonded 0 IOBs Number of BUFGMUXs Average Fanout of non-Clock Nets Fig7: Synthesis report of 64-bit MAC using Vedic Multiplier using RCA,DKG and KSA Reversible logic gates Fig8: Delay Analysis report of 64-bit MAC using Vedic Multiplier using RCA,DKG and KSA Reversible logic gates in table 2. By Combining the Vedic and reversible logic will direct to new and competent attainments in developing various fields of digital signal processing Applications. Fig 9: Simulation result of Adder The above fig 9 shows that simulation result of DKG adder. It is a 32 bit adder. In this design we used two 64 bit adders. This adder has two inputs a and b ,two outputs sum and carry. For adder a =19997091 and b= 0001fffdapplied.Which results sum is 0199b708e and carry is 0. Fig 10: Vedic Multiplier result of 64 bit MAC unit The above fig 10 shows the simulation result of 64 bit MAC design unit. For this design we applied two inputs. In which values are a=12345678 and b=78945612 and it will give result of 55bed11b057ec60. Fig 11: Vedic Multiplier result of 64 bit MAC unit on FPGA CONCLUSION AND FUTURE SCOPE The results of this proposed 64 bit Urdhava Triyagbhayam Vedic multiplier with DKG adder are quite good. Design of MAC unit structure and its performance has been scrutinize for all the blocks. Therefore, the 64-bit Urdhava Triyagbhayam sutra Multiplier and reversible logic is the best in all aspects like speed power product ,delay, area and complication as compared to all other architectures which are shown

Othello and Faustus Blame Term Paper Essay

Trust is an essential part of a peaceful society. The way people act decides whether they are trustworthy or not. One who manipulates trust to deceive people is to blame for the disturbance. Those who places trust in the wrong person are also to blame. Placing trust in an unworthy person is the initial fault as it opens the protagonist to deception. Thus they base their actions according to the false information which condemns them. The person who is to blame is viewed as a villain rather than a hero. The object of the misplaced trust is decides to what extent they are to blame. Othello and Faustus place their trust in unworthy people. Othello is a trusting man, causing him to trust a deceiver who wishes him harm. Iago explains his plan for Othello in this way, â€Å"After some time, abuse Othello’s ears/ that he is too familiar with his wife./ To be suspected—framed to make women false./ The Moor is of free and open nature/ that thinks men honest that but seem to be so;/ and will as tenderly be led by th’nose/ as asses are./† (A1 S3 L390-393). Iago plots to manipulate Othello when he states he will abuse Othello’s ears. He states that he will convince Othello that Cassio is having an affair with his wife and describes that he picked Cassio because he seems like the type of man to commit this offence. This quote also shows the excessive trusting nature of Othello. Iago believes that it would be simple to deceive Othello because Othello is honest to the point where he believes no one is dishonest. Iago will be able to lead Othello into believing Cassio is having an affair with Desdemona. Iago’s plan would cause the downfall of Cassio and Othello which is perfect for Iago’s motives. Othello’s trusting personality causes him to misplace his trust in a deceiver, which is the beginning of his downfall. Othello’s flaw of trusting is an excess of a good trait, placing more blame onto Iago. Faustus places his trust in himself because he is prideful. He was knowledgeable in every acceptable branch of knowledge. Faustus is presented in the prologue in this way: â€Å"That shortly he was graced with doctor’s name,/ excelling all, and sweetly can dispute/ in th’heavenly matters of theology;/ Till swoll’n with cunning, of a self-conceit,/ his waxen wings did mount above his reach/ and melting, heavens conspired his overthrow† (prologue L16-21). The quote shows that Faustus was praised with the title of doctor after surpassing everyone in the subject of divinity, which is the most important branch of knowledge at the time. The quote continues to describe Faustus’ pride to be swollen, which means it has grown larger than it should be. Pride is the deadliest of the seven deadly sins and Icarus, who was prideful, reached beyond what he was capable of. Icarus flew too close to the sun even though he was warned by his father. This resulted in the melting of his waxed wings and ultimately killing him. Icarus bears the blame completely for his downfall. This quote shows that Faustus shares the same pride as Icarus. If Faustus were to fall because he were to reach beyond his capabilities with the knowledge that he should not, Faustus would bear all the blame and be viewed as a villain. Faustus understands theology better than everyone, but he chooses to be prideful. His excellence causes him to be prideful and believe he is better than what he truly is. Pride is viewed as a negative trait and will cause the reader to lean towards viewing Faustus as a villain rather than a hero. The misplaced trust cause Othello and Faustus accept false knowledge. Othello vows to kill Desdemona because he trusts Iago. Othello expresses his plans as, â€Å"Even so my bloody thoughts, with violent pace,/ shall nev’r look back, nev’r ebb to humble love,/ till that a capable and wide revenge/ swallow them up. [He kneels.] Now, by yond marble heaven,/ in the due reverence of a sacred vow/ I here engage my words./. ..Damn her! Come, go with me apart. I will withdraw/ to furnish me some swift means of death for the fair devil./† (A3 S3 L454-458 & 473-475). Being a trustworthy man, Othello would never break his promise. He begins to say that he has thoughts of murder for his revenge. He continues to say that he refuses to think otherwise. He chooses to have an unwavering mind of having revenge. He makes a vow with Iago and he vows to kill Desdemona as soon as possible. His promise to kill Desdemona is based on the false information Iago has given him. Othello is mentally prepared to commit a fault that will condemn his future because he trusts Iago. Othello is partially to blame for this mistake because he vows to take revenge based on circumstantial evidence. He is stubborn to set his mind to one path. Faustus accepts false information because he believes that he knows everything about divinity. In his demonstration of the types of knowledge, his ignorance causes him to overlook essential details. â€Å"Jerome’s Bible, Faustus view it well. Ha! The reward of sin is death? †¦If we say that we have no sin, we deceive ourselves, and there is no truth in us. Why, then belike, we must sin, and so consequently die. Ay, we must die an everlasting death†¦ What will be shall be! Divinity, adieu!† (A1 S1 L36-43) Faustus starts his speech on divinity with pride. He states that he has viewed the bible without overlooking anything. As he reads a passage from the bible, he shows that he does not view it well. He reads that those who sin are damned and men must sin. Therefore, he decides that all men are damned. He overlooks repentance and shows how his pride is fatal. Repentance is the key to divinity because it is the only way to save one’s soul. Faustus overlooks divinity as another branch of knowledge he has mastered. His knowledge causes him to be prideful and place his trust in himself. He neglects the concept of repentance and dismisses divinity. By dismissing divinity, he would be unable to review the whole passage to understand if he had missed anything. His pride causes him to believe that there is no salvation and pursues a path that will condemn him. Faustus is completely to blame because he has an excess of pride, which is a bad trait. His trait led him to accept false knowledge so he bears all of the blame. The actions that condemn Othello and Faustus are based on false information. Othello commits murder because he believes Desdemona was false to him. Othello is lead by false information that was given to him from Iago. Othello announces, â€Å"She’s like a liar gone to burning hell! ‘She’s like a liar gone to burning hell!/ ‘Twas I that killed her/†¦ ‘Tis pitiful; but yet Iago knows/ that she with Cassio hath the act of shame/ a thousand times committed. Cassio confessed it;/ And she did gratify his amorous works/ with that recognizance and pledge of love,/ which I first gave her. I saw it in his hand./ It was a handkerchief, an antique token/ my father gave my mother† (A5 S2 L128-129 & 207-214). Othello admits he killed Desdemona because he is honourable and refuses to avoid punishment by with killing Desdemona by lying. He says that he killed Desdemona, but without shame because he believes he has done so for a good cause. He states his reasons, which were all based on information that Iago has given him. Othello justifies his actions with events where Iago was deceiving him. Iago and Cassio were talking about Bianca, but Iago tells Othello it was about Desdemona. Iago also says that he has seen Cassio wipe his beard with Desdemona’s handkerchief. Othello’s evidence is all based on Iago’s deception and false evidence which is later proved wrong by Emilia. Othello wrongfully murders Desdemona and is condemned. Othello lost his loyal wife, his status and his respect that was gained through many years of service. Othello bears most of blame because he accepts Iago’s uncertain information and stubbornly devotes himself to revenge. He focuses on Iago’s information and is unable to see through Iago’s obvious lies. Iago still bears little, but some of the blame for giving the false information. Having rejected divinity, Faustus chooses necromancy, which condemns him. He pride causes him write the terms for the devil. Faustus states the terms as, â€Å"I, John Faustus of Wittenberg, Doctor, by these/ presents, do give both body and soul to Lucifer,/ prince of east, and his minister Mephostophilis/, and furthermore grant unto them that,/ four and twenty years being expired and these/ articles above written being inviolate, full/ power to fetch or carry the said John Faustus,/ body and soul,, flesh, blood, or goods, into their/ habitation wheresoever./ By me John Faustus/† (A2 S1 L108-117). Faustus dictates the terms of the contract. He sells his soul to Lucifer for twenty four years of leisure and the obedience of Mephistophilis. His pride causes him to not realize his eternal soul is worth much more than twenty four years of pleasure. In the end, he states that the terms were by him, repeating that it was him who created the terms. He remains prideful and sells his soul to Lucifer to pursue his path of necromancy. Faustus made this decision because he believed in himself and based his action on the false knowledge. His overlooking of divinity causes him to damn himself. He is completely to blame for his actions because the devil did not influence Faustus. Faustus knew exactly what he was doing because he creates a contract that will condemn him and dictates its terms to Mephistophilis. The blame for the downfall depends on the characters final actions. Othello’s honour wills him to right the wrong. Othello shows his honourable personality by saying, â€Å"I have done the state some service, and they know’t./ No more of that. I pray you, in your letters,/ when you shall these unlucky deeds relate,/ speak of me as I am. Nothing extenuated, nor set down aught in malice. Then you must speak/ of one that loved not wisely, but too well;/ Of one not easily jealous, but, being wrought ,/ perplexed in the extreme; of one whose hand,/ like the base Judean, threw a pearl away/ richer than all his tribe†¦ I kissed thee ere I killed thee. No way but this, killing myself, to die upon a kiss (A5 S2 L334-344 & 354-355). Othello tries to make a last attempt to justify his actions and regain his honour. He talks about his past deeds and about how honourable he was. He also asks that his unfortunate deeds should not be excluded in his report. He tells Lodovic to report on his love, and that he was not wise in his love, but he was madly in love with Desdemona. Othello admits that he was jealous and was not thinking logically when he doubted Desdemona’s loyalty. Othello was perplexed in the extreme, causing him to charge Desdemona with groundless evidence. Othello describes himself like Judean. Judean refers to Judas, who was one of the twelve disciples of Jesus. Judas betrays Jesus, condemning himself to hell. Othello says he has killed Desdemona which has condemned him. He continues to be loyal to Venice and now that he has become an enemy of the state, he decides to kill himself. His last line was dedicated to Desdemona, saying that there is nothing he can do to repent for killing her, but he is willing to sacrifice himself to right the wrong. Othello understands his mistakes and tries to justify his actions. Seeing that he has taken the life of an innocent person, he decides that it is only fair he takes his own. This shows that Othello bears a little bit of the blame because he shows he truly had no intent of killing Desdemona and admits he is wrong. Iago bears most of the blame because he deceives Othello, an innocent and honest person. Hence, Iago is viewed as the villain whereas Othello is viewed as a hero. Faustus’ destruction is brought upon himself due to his rejection of repentance. Faustus demonstrates his pride even when he knows he is wrong by saying, â€Å"But Faustus’ offense can ne’er be pardoned./ The serpent that tempted Eve may be saved, but/ not Faustus! (A5 S2 L42-44). Faustus continues to be prideful and states that his offense can not be excused. This is related to the point when Faustus rejects divinity. Divinity shows that he can repent, but he overlooks it again. He believes in the false information and his pride causes him to believe that his actions were more significant than the serpent’s actions, which damned all of humanity. Faustus pride believes he is more superior to the very devil he had sold his soul to. Faustus understands that he is wrong, but refuses to acknowledge it. Faustus bears all of the blame for his downfall because he has allowed himself to be led by pride. Faustus is offered another chance to repent and save himself from damnation, but his pride convinces him to discard this opportunity. Faustus is viewed as a villain for not repenting to God and refusing to save himself after he is condemned. Othello trusted Iago, which led him to believe false information. The false information caused Othello to condemn himself, but Othello recognizes his mistakes and tries to right the wrong. Faustus is prideful and trusts himself, causing him to make an error in his studies. The error leads to Faustus’ condemnation, but Faustus is capable of saving himself many times by repenting unlike Othello. Othello did not have a second chance where as Faustus had many chances. Faustus discards all of his opportunities and refuses to accept the fact that he is wrong. Othello bears less of the trust because he was unable to save himself after he realized he has been condemned, but tries to right the wrong. Faustus bears all of the blame because he is condemned, and is capable of saving himself, but chooses not to. Thus, Othello is viewed as a hero while Faustus is viewed as a villain.

President Lyndon B. Johnson - 1370 Words

The one president that is phenomenal is Lyndon Baines Johnson. Lyndon has changed society from 1963 to 1969, with his Great Society Programs, Civils Rights Act, and many more that has impacted society since he came to office. Johnson was born in August 1908 Stonewall, Texas and died in Stonewall, Texas in January 1973, he was the 36th president, married to Lady Bird Johnson. LBJ succeeded by Richard Nixon. He was Vice President under JFK, John F. Kennedy, from 1961 to 1963 then became president in 1963 after the assassination of JFK. President Lyndon B. Johnson was much loved and greatly hated, his personality was kind and he was passionate, considerate, decent and devoted to advancing the well-being of the least advantage. But some describe him as cruel, dictatorial, grandiose, and vicious. As a child, he manifested character traits that shaped as behavior throughout his life, he suffered a sense of emptiness; couldn t stand being alone, needed constant companionship, attention, app roval, affection. Furthermore, he had insatiable appetites too, meaning he was rarely satisfied, it had to meet his standards for him to like what he has done or what the people had done. For example; for work, women, food, drink, conversations, material possession. Simple as a conversation can be insatiable, even a drink. All of the services have to fill him up. The insatiable appetites given him a sense of self-worth, giving him a sort validity. His neediness translated into a number of traitsShow MoreRelatedPresident Lyndon B. Johnson1227 Words   |  5 Pagesof becoming the President of the United States, but few realize the difficulties that a country’s leader must face: tough decisions, public scrutiny, and more. 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Johnson s Speech957 Words   |  4 PagesPresident Lyndon B. Johnson delivered on the most famous and fascinating speeches in American history on March 15 1965. The speech was inspired over the situation that occurred in Selma, Alabama one week earlier. African Americans were protesting over voting rights, as due to manipulation of the voting system by w hites. The purpose of President Johnson’s speech was to convince Congress and Americans to pass his bill on voting reformation. President Lyndon B. Johnson’s speech is rhetorically effectiveRead MorePresident Lyndon B Johnson s Speech1556 Words   |  7 Pages President Lyndon B Johnson gave his State of the Union speech on January 8, 1964; Johnson’s speech followed many of the basic principles put forth by our founding fathers in the Declaration of Independence and in the United Sates Constitution. 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Personal Statement Of An English Learner - 915 Words

Daniel Gasca Period 3 Personal Statement I walk over to the nine-year-old boy sitting across the room as I reach for my pen and sheet of paper. As I approached him, I halted. Quietly, I asked him what he needed help with. Looking confused, he asked me what the word bough meant. I froze. I didn’t know what the word meant. Embarrassed of not knowing a fifth grade word, I asked the teacher for some assistance and after she told me what the word meant I understood and was then able to explain to him that a bough is just a synonym for a branch. Noticing that David was still confused as to what he was reading, I sat beside him and allowed him to read the passage out loud to me. While I defined the words that he didn’t know and listened to him read the passage, I was able to classify him as an English learner who just wanted to be just as good as the other kids. David had the same mindset as me. He believed that you wouldn’t become successful if you didn’t work your butt off at any point. 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