A Microprocessor Based on a Two-Dimensional Semiconductor
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Role of Mosfets Transconductance Parameters and Threshold Voltage in CMOS Inverter Behavior in DC Mode
Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 28 July 2017 doi:10.20944/preprints201707.0084.v1 Article Role of MOSFETs Transconductance Parameters and Threshold Voltage in CMOS Inverter Behavior in DC Mode Milaim Zabeli1, Nebi Caka2, Myzafere Limani2 and Qamil Kabashi1,* 1 Department of Engineering Informatics, Faculty of Mechanical and Computer Engineering ([email protected]) 2 Department of Electronics, Faculty of Electrical and Computer Engineering ([email protected], [email protected]) * Correspondence: [email protected]; Tel.: +377-44-244-630 Abstract: The objective of this paper is to research the impact of electrical and physical parameters that characterize the complementary MOSFET transistors (NMOS and PMOS transistors) in the CMOS inverter for static mode of operation. In addition to this, the paper also aims at exploring the directives that are to be followed during the design phase of the CMOS inverters that enable designers to design the CMOS inverters with the best possible performance, depending on operation conditions. The CMOS inverter designed with the best possible features also enables the designing of the CMOS logic circuits with the best possible performance, according to the operation conditions and designers’ requirements. Keywords: CMOS inverter; NMOS transistor; PMOS transistor; voltage transfer characteristic (VTC), threshold voltage; voltage critical value; noise margins; NMOS transconductance parameter; PMOS transconductance parameter 1. Introduction CMOS logic circuits represent the family of logic circuits which are the most popular technology for the implementation of digital circuits, or digital systems. The small dimensions, low power of dissipation and ease of fabrication enable extremely high levels of integration (or circuits packing densities) in digital systems [1-5]. -
Logic Styles with Mosfets
Logic Styles with MOSFETs NMOS Logic One way of using MOSFET transistors to produce logic circuits uses only n-type (n-p-n) transistors, and this style is called NMOS logic (N for n-type transistors). An inverter circuit in NMOS is shown in the figure with n-p-n transistors replacing both the switch and the resistor of the inverter circuit examined earlier. The lower transistor in the circuit operates as a switch exactly as the idealised switch in the original circuit: with 5V on the Gate input, the conducting channel is created in the transistor and the “switch” is closed; with 0V on the Gate there is no channel and the transistor is non-conducting - the “switch” is open. The depletion mode transistor is produced by adding a small amount of donor material to the The upper transistor, called a depletion mode channel region of a n-p-n transistor, so that there are a small number of free electrons in the channel transistor, operates as a resistor to limit current even when there is no electric field across the flow when the “switch” is closed. This transistor is insulator. This provides a connection through the a modified n-p-n transistor that always has a transistor for all Gate voltages. The conductivity of channel present and is always conducting, although the channel is lowest (Resistance is highest) when the conductivity is low when there is 0V on the the Gate is at 0V. When the Gate is at 5V and more Gate and higher when 5V is on the Gate: see Box. -
UNIT-I Mathematical Logic Statements and Notations
UNIT-I Mathematical Logic Statements and notations: A proposition or statement is a declarative sentence that is either true or false (but not both). For instance, the following are propositions: “Paris is in France” (true), “London is in Denmark” (false), “2 < 4” (true), “4 = 7 (false)”. However the following are not propositions: “what is your name?” (this is a question), “do your homework” (this is a command), “this sentence is false” (neither true nor false), “x is an even number” (it depends on what x represents), “Socrates” (it is not even a sentence). The truth or falsehood of a proposition is called its truth value. Connectives: Connectives are used for making compound propositions. The main ones are the following (p and q represent given propositions): Name Represented Meaning Negation ¬p “not p” Conjunction p q “p and q” Disjunction p q “p or q (or both)” Exclusive Or p q “either p or q, but not both” Implication p ⊕ q “if p then q” Biconditional p q “p if and only if q” Truth Tables: Logical identity Logical identity is an operation on one logical value, typically the value of a proposition that produces a value of true if its operand is true and a value of false if its operand is false. The truth table for the logical identity operator is as follows: Logical Identity p p T T F F Logical negation Logical negation is an operation on one logical value, typically the value of a proposition that produces a value of true if its operand is false and a value of false if its operand is true. -
Introduction to Logic
IntroductionI Introduction to Logic Propositional calculus (or logic) is the study of the logical Christopher M. Bourke relationship between objects called propositions and forms the basis of all mathematical reasoning. Definition A proposition is a statement that is either true or false, but not both (we usually denote a proposition by letters; p, q, r, s, . .). Computer Science & Engineering 235 Introduction to Discrete Mathematics [email protected] IntroductionII ExamplesI Example (Propositions) Definition I 2 + 2 = 4 I The derivative of sin x is cos x. The value of a proposition is called its truth value; denoted by T or I 6 has 2 factors 1 if it is true and F or 0 if it is false. Opinions, interrogative and imperative sentences are not Example (Not Propositions) propositions. I C++ is the best language. I When is the pretest? I Do your homework. ExamplesII Logical Connectives Connectives are used to create a compound proposition from two Example (Propositions?) or more other propositions. I Negation (denoted or !) ¬ I 2 + 2 = 5 I And (denoted ) or Logical Conjunction ∧ I Every integer is divisible by 12. I Or (denoted ) or Logical Disjunction ∨ I Microsoft is an excellent company. I Exclusive Or (XOR, denoted ) ⊕ I Implication (denoted ) → I Biconditional; “if and only if” (denoted ) ↔ Negation Logical And A proposition can be negated. This is also a proposition. We usually denote the negation of a proposition p by p. ¬ The logical connective And is true only if both of the propositions are true. It is also referred to as a conjunction. Example (Negated Propositions) Example (Logical Connective: And) I Today is not Monday. -
Chapter 1 Logic and Set Theory
Chapter 1 Logic and Set Theory To criticize mathematics for its abstraction is to miss the point entirely. Abstraction is what makes mathematics work. If you concentrate too closely on too limited an application of a mathematical idea, you rob the mathematician of his most important tools: analogy, generality, and simplicity. – Ian Stewart Does God play dice? The mathematics of chaos In mathematics, a proof is a demonstration that, assuming certain axioms, some statement is necessarily true. That is, a proof is a logical argument, not an empir- ical one. One must demonstrate that a proposition is true in all cases before it is considered a theorem of mathematics. An unproven proposition for which there is some sort of empirical evidence is known as a conjecture. Mathematical logic is the framework upon which rigorous proofs are built. It is the study of the principles and criteria of valid inference and demonstrations. Logicians have analyzed set theory in great details, formulating a collection of axioms that affords a broad enough and strong enough foundation to mathematical reasoning. The standard form of axiomatic set theory is denoted ZFC and it consists of the Zermelo-Fraenkel (ZF) axioms combined with the axiom of choice (C). Each of the axioms included in this theory expresses a property of sets that is widely accepted by mathematicians. It is unfortunately true that careless use of set theory can lead to contradictions. Avoiding such contradictions was one of the original motivations for the axiomatization of set theory. 1 2 CHAPTER 1. LOGIC AND SET THEORY A rigorous analysis of set theory belongs to the foundations of mathematics and mathematical logic. -
MOSFET - Wikipedia, the Free Encyclopedia
MOSFET - Wikipedia, the free encyclopedia http://en.wikipedia.org/wiki/MOSFET MOSFET From Wikipedia, the free encyclopedia The metal-oxide-semiconductor field-effect transistor (MOSFET, MOS-FET, or MOS FET), is by far the most common field-effect transistor in both digital and analog circuits. The MOSFET is composed of a channel of n-type or p-type semiconductor material (see article on semiconductor devices), and is accordingly called an NMOSFET or a PMOSFET (also commonly nMOSFET, pMOSFET, NMOS FET, PMOS FET, nMOS FET, pMOS FET). The 'metal' in the name (for transistors upto the 65 nanometer technology node) is an anachronism from early chips in which the gates were metal; They use polysilicon gates. IGFET is a related, more general term meaning insulated-gate field-effect transistor, and is almost synonymous with "MOSFET", though it can refer to FETs with a gate insulator that is not oxide. Some prefer to use "IGFET" when referring to devices with polysilicon gates, but most still call them MOSFETs. With the new generation of high-k technology that Intel and IBM have announced [1] (http://www.intel.com/technology/silicon/45nm_technology.htm) , metal gates in conjunction with the a high-k dielectric material replacing the silicon dioxide are making a comeback replacing the polysilicon. Usually the semiconductor of choice is silicon, but some chip manufacturers, most notably IBM, have begun to use a mixture of silicon and germanium (SiGe) in MOSFET channels. Unfortunately, many semiconductors with better electrical properties than silicon, such as gallium arsenide, do not form good gate oxides and thus are not suitable for MOSFETs. -
Vlsi Design Lecture Notes B.Tech (Iv Year – I Sem) (2018-19)
VLSI DESIGN LECTURE NOTES B.TECH (IV YEAR – I SEM) (2018-19) Prepared by Dr. V.M. Senthilkumar, Professor/ECE & Ms.M.Anusha, AP/ECE Department of Electronics and Communication Engineering MALLA REDDY COLLEGE OF ENGINEERING & TECHNOLOGY (Autonomous Institution – UGC, Govt. of India) Recognized under 2(f) and 12 (B) of UGC ACT 1956 (Affiliated to JNTUH, Hyderabad, Approved by AICTE - Accredited by NBA & NAAC – ‘A’ Grade - ISO 9001:2015 Certified) Maisammaguda, Dhulapally (Post Via. Kompally), Secunderabad – 500100, Telangana State, India Unit -1 IC Technologies, MOS & Bi CMOS Circuits Unit -1 IC Technologies, MOS & Bi CMOS Circuits UNIT-I IC Technologies Introduction Basic Electrical Properties of MOS and BiCMOS Circuits MOS I - V relationships DS DS PMOS MOS transistor Threshold Voltage - VT figure of NMOS merit-ω0 Transconductance-g , g ; CMOS m ds Pass transistor & NMOS Inverter, Various BiCMOS pull ups, CMOS Inverter Technologies analysis and design Bi-CMOS Inverters Unit -1 IC Technologies, MOS & Bi CMOS Circuits INTRODUCTION TO IC TECHNOLOGY The development of electronics endless with invention of vaccum tubes and associated electronic circuits. This activity termed as vaccum tube electronics, afterward the evolution of solid state devices and consequent development of integrated circuits are responsible for the present status of communication, computing and instrumentation. • The first vaccum tube diode was invented by john ambrase Fleming in 1904. • The vaccum triode was invented by lee de forest in 1906. Early developments of the Integrated Circuit (IC) go back to 1949. German engineer Werner Jacobi filed a patent for an IC like semiconductor amplifying device showing five transistors on a common substrate in a 2-stage amplifier arrangement. -
Logical Vs. Natural Language Conjunctions in Czech: a Comparative Study
ITAT 2016 Proceedings, CEUR Workshop Proceedings Vol. 1649, pp. 68–73 http://ceur-ws.org/Vol-1649, Series ISSN 1613-0073, c 2016 K. Prikrylová,ˇ V. Kubon,ˇ K. Veselovská Logical vs. Natural Language Conjunctions in Czech: A Comparative Study Katrin Prikrylová,ˇ Vladislav Kubon,ˇ and Katerinaˇ Veselovská Charles University in Prague, Faculty of Mathematics and Physics Czech Republic {prikrylova,vk,veselovska}@ufal.mff.cuni.cz Abstract: This paper studies the relationship between con- ceptions and irregularities which do not abide the rules as junctions in a natural language (Czech) and their logical strictly as it is the case in logic. counterparts. It shows that the process of transformation Primarily due to this difference, the transformation of of a natural language expression into its logical representa- natural language sentences into their logical representation tion is not straightforward. The paper concentrates on the constitutes a complex issue. As we are going to show in most frequently used logical conjunctions, and , and it the subsequent sections, there are no simple rules which analyzes the natural language phenomena which∧ influence∨ would allow automation of the process – the majority of their transformation into logical conjunction and disjunc- problematic cases requires an individual approach. tion. The phenomena discussed in the paper are temporal In the following text we are going to restrict our ob- sequence, expressions describing mutual relationship and servations to the two most frequently used conjunctions, the consequences of using plural. namely a (and) and nebo (or). 1 Introduction and motivation 2 Sentences containing the conjunction a (and) The endeavor to express natural language sentences in the form of logical expressions is probably as old as logic it- The initial assumption about complex sentences contain- self. -
Class 08: NMOS, Pseudo-NMOS
Class 08: NMOS, Pseudo-NMOS Topics: •02 NMOS Logic Gates •03 NMOS Logic Gates •04 Pseudo-NMOS •05 Pseudo-NMOS •06 Transistor Equivalency Dr. Joseph Elias; Dr. Andrew Mason 1 Class 08: NMOS, Pseudo-NMOS NMOS (Martin c. 1) § nMOS Inverter with resistive load § nMOS Inverter with depletion load Depletion nMOS, Vtn < 0 always ON for VGS = 0 § switch level model W/L Q1 > W/L Q2 so Q1 can “pull down” Vout § nMOS NOR gate c = a+b (a) NMOS off (b) NMOS on want to realize resistor with a transistor § nMOS NAND gate § Including transistor resistance c = ab rds º channel resistance RL >> rds so output close to 0V Dr. Joseph Elias; Dr. Andrew Mason 2 Class 08: NMOS, Pseudo-NMOS NMOS (Martin c. 1) • General nMOS schematic Examples: depletion-load nMOS logic – single load transistor – parallel and series nMOS transistor to complete the compliment of the desired function i.e., they determine when the output is low “0” rather than high “1” Dr. Joseph Elias; Dr. Andrew Mason 3 Class 08: NMOS, Pseudo-NMOS Pseudo-NMOS (Martin c. 4) •NMOS Common-Source Amplifier with •Pseudo-NMOS inverter with PMOS load current sourrce load and load capacitor •Choose W/L so that: •Choose Vbias in between VDD and ground Q2 always on since |Vgs| > |Vtp| Q2 in saturation if (for VDD=3.3) |Vds| > |Veff| > |Vgs| – |Vt| VDD – Vout > |Vgs| - |Vt| Vout < VDD - |Vgs| + |Vt| Vout < 1.65 + Vt < 2.45 Q1 in saturation if Vgs = Vin > Vt Vds > Veff > Vgs – Vt => •Current-source realized with a PMOS transistor Vout > Vin - Vt •Power Dissipation: Veff = Vgs - Vt output low (Vin is high): P = IL * VDD Vds = Vgs + Vdg at saturation, Vdg=-Vt output high (Vin is low): P = 0 Valid if: average static dissipation: P = ½ * IL * VDD Veff = |Vds-sat| > |Vgs| - |Vtp| -want drain at least Vt from gate Dr. -
Introduction to Deductive Logic
Introduction to Deductive Logic Part I: Logic & Language There is no royal road to logic, and really valuable ideas can only be had at the price of close attention. Charles Saunders Peirce INTRODUCTION TO DEDUCTIVE LOGIC PART I: LOGIC AND LANGUAGE I. INTRODUCTION What is Logic? . 4 What is an argument? . 5 Three Criteria for Evaluating Arguments . 6 II. ARGUMENT ANALYSIS – PART 1 Preliminary Issues . 9 Statements and Truth Value Premises and Conclusions . 9 Statements vs Sentences 10 Simple vs Compound Statements 12 Recognizing premises and conclusions . 13 Indicator Language. 15 TWO TYPES OF ARGUMENTS Inductive Reasoning/Argument . 18 Deductive Reasoning/Argument . 19 III. ANALYSIS – PART II FORMALIZING ARGUMENT Preliminary Issue: Formal vs. Informal Argument . 24 Simple and Compound Statements . 25 Types of Compound Statements . 26 Formation Rules for Sentential . 26 DEFINING LOGICAL OPERATORS . 29 Negation . 29 Conjunction . 30 Disjunction . 31 Conditional/ Material Implication . 32 Bi-conditional . 33 APPLICATION: TRANSLATING USING LOGICAL OPERATORS . 35 TRUTH TABLE RULES/SUMMARY OF LOGICAL OPERATORS . 38 TRUTH TABLE APPLICATIONS . 39 Application I: Substitute and Calculate Method . 39 Application II: Calculating with Unknown Values . 41 Application III: Full Truth Table Method . 42 A Short Cut Technique for statements. 44 Truth Table Test for Logical Equivalence . 45 Application IV: Using Truth Tables to Facilitate Reasoning . 47 THE NEED FOR PREDICATE . 50 Using Predicate to Represent Categorical Statements . 52 Preliminary Issues– Grammar . 53 Formation Rules for Predicate . 55 Expressing Quantity . 56 APPLICATION: Symbolizing Categorical Statements using Predicate . 56 Negating Standard Form Categorical Statements. 57 Summary Chart for Standard Form Categorical Statements . 59 Extending Predicate . 61 A Universe of Discourse . -
Comparative Analysis of Low Power Adiabatic Logic Circuits in DSM Technology
International Journal of Engineering Trends and Technology (IJETT) – Volume-45 Number3 -March 2017 Comparative Analysis of Low Power Adiabatic Logic Circuits in DSM Technology Shaefali Dixit #1, Ashish Raghuwanshi #2, # PG Student [VLSI], Dept. of ECE, IES college of Eng. Bhopal, RGPV Bhopal, M.P. India Abstract— With the continuous scaling down of dissipation energy loss takes place. While in technology, in the field of integrated circuit design, semiconductor devices, the charge transfer between low power dissipation has become one of the primary different nodes is the process of energy exchange and focus of the research. With the increasing demand for different techniques can be used for minimizing this low power devices adiabatic logic gates proves to be energy loss due to charge transfer. While fully an effective solution. This paper investigates different adiabatic operation is the ideal condition of a circuit adiabatic logic families such as ECRL, 2N-2N2P and operation, in practical cases partial adiabatic operation PFAL. The main aim of this paper is to simulate of circuit is used which gives considerable various logic gates using conventional CMOS and performance. different adiabatic logic families, and thus compare In conventional CMOS circuits the energy stored in for the effectiveness in terms of lower power load capacitors was dissipated to ground. While, dissipation. All simulations are carried out using adiabatic logic, in contrast, offers a way to reuse this HSPICE at 65nm technology with supply voltage is 1V energy and thus prevents the wastage of this energy. at 100MHz frequency, for fair comparison of results By adding the ideas of both the conventional and the W/L ratio of all the circuit is same. -
Hardware Abstract the Logic Gates References Results Transistors Through the Years Acknowledgements
The Practical Applications of Logic Gates in Computer Science Courses Presenters: Arash Mahmoudian, Ashley Moser Sponsored by Prof. Heda Samimi ABSTRACT THE LOGIC GATES Logic gates are binary operators used to simulate electronic gates for design of circuits virtually before building them with-real components. These gates are used as an instrumental foundation for digital computers; They help the user control a computer or similar device by controlling the decision making for the hardware. A gate takes in OR GATE AND GATE NOT GATE an input, then it produces an algorithm as to how The OR gate is a logic gate with at least two An AND gate is a consists of at least two A NOT gate, also known as an inverter, has to handle the output. This process prevents the inputs and only one output that performs what inputs and one output that performs what is just a single input with rather simple behavior. user from having to include a microprocessor for is known as logical disjunction, meaning that known as logical conjunction, meaning that A NOT gate performs what is known as logical negation, which means that if its input is true, decision this making. Six of the logic gates used the output of this gate is true when any of its the output of this gate is false if one or more of inputs are true. If all the inputs are false, the an AND gate's inputs are false. Otherwise, if then the output will be false. Likewise, are: the OR gate, AND gate, NOT gate, XOR gate, output of the gate will also be false.