Quadruple 2-Input Exclusive-OR Gate Datasheet
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Engineering Transcriptional Control and Synthetic Gene Circuits in Cell Free Systems
University of Tennessee, Knoxville TRACE: Tennessee Research and Creative Exchange Doctoral Dissertations Graduate School 12-2012 Engineering Transcriptional Control and Synthetic Gene Circuits in Cell Free systems Sukanya Iyer University of Tennessee, [email protected] Follow this and additional works at: https://trace.tennessee.edu/utk_graddiss Part of the Biotechnology Commons Recommended Citation Iyer, Sukanya, "Engineering Transcriptional Control and Synthetic Gene Circuits in Cell Free systems. " PhD diss., University of Tennessee, 2012. https://trace.tennessee.edu/utk_graddiss/1586 This Dissertation is brought to you for free and open access by the Graduate School at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in Doctoral Dissertations by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. To the Graduate Council: I am submitting herewith a dissertation written by Sukanya Iyer entitled "Engineering Transcriptional Control and Synthetic Gene Circuits in Cell Free systems." I have examined the final electronic copy of this dissertation for form and content and recommend that it be accepted in partial fulfillment of the equirr ements for the degree of Doctor of Philosophy, with a major in Life Sciences. Mitchel J. Doktycz, Major Professor We have read this dissertation and recommend its acceptance: Michael L. Simpson, Albrecht G. von Arnim, Barry D. Bruce, Jennifer L. Morrell-Falvey Accepted for the Council: Carolyn R. Hodges Vice Provost and Dean of the Graduate School (Original signatures are on file with official studentecor r ds.) Engineering Transcriptional Control and Synthetic Gene Circuits in Cell Free systems A Dissertation Presented for the Doctor of Philosophy Degree The University of Tennessee, Knoxville Sukanya Iyer December 2012 Copyright © 2012 by Sukanya Iyer. -
CSE Yet, Please Do Well! Logical Connectives
administrivia Course web: http://www.cs.washington.edu/311 Office hours: 12 office hours each week Me/James: MW 10:30-11:30/2:30-3:30pm or by appointment TA Section: Start next week Call me: Shayan Don’t: Actually call me. Homework #1: Will be posted today, due next Friday by midnight (Oct 9th) Gradescope! (stay tuned) Extra credit: Not required to get a 4.0. Counts separately. In total, may raise grade by ~0.1 Don’t be shy (raise your hand in the back)! Do space out your participation. If you are not CSE yet, please do well! logical connectives p q p q p p T T T T F T F F F T F T F NOT F F F AND p q p q p q p q T T T T T F T F T T F T F T T F T T F F F F F F OR XOR 푝 → 푞 • “If p, then q” is a promise: p q p q F F T • Whenever p is true, then q is true F T T • Ask “has the promise been broken” T F F T T T If it’s raining, then I have my umbrella. related implications • Implication: p q • Converse: q p • Contrapositive: q p • Inverse: p q How do these relate to each other? How to see this? 푝 ↔ 푞 • p iff q • p is equivalent to q • p implies q and q implies p p q p q Let’s think about fruits A fruit is an apple only if it is either red or green and a fruit is not red and green. -
Automated Unbounded Verification of Stateful Cryptographic Protocols
Automated Unbounded Verification of Stateful Cryptographic Protocols with Exclusive OR Jannik Dreier Lucca Hirschi Sasaˇ Radomirovic´ Ralf Sasse Universite´ de Lorraine Department of School of Department of CNRS, Inria, LORIA Computer Science Science and Engineering Computer Science F-54000 Nancy ETH Zurich University of Dundee ETH Zurich France Switzerland UK Switzerland [email protected] [email protected] [email protected] [email protected] Abstract—Exclusive-or (XOR) operations are common in cryp- on widening the scope of automated protocol verification tographic protocols, in particular in RFID protocols and elec- by extending the class of properties that can be verified to tronic payment protocols. Although there are numerous appli- include, e.g., equivalence properties [19], [24], [27], [51], cations, due to the inherent complexity of faithful models of XOR, there is only limited tool support for the verification of [14], extending the adversary model with complex forms of cryptographic protocols using XOR. compromise [13], or extending the expressiveness of protocols, The TAMARIN prover is a state-of-the-art verification tool e.g., by allowing different sessions to update a global, mutable for cryptographic protocols in the symbolic model. In this state [6], [43]. paper, we improve the underlying theory and the tool to deal with an equational theory modeling XOR operations. The XOR Perhaps most significant is the support for user-specified theory can be freely combined with all equational theories equational theories allowing for the modeling of particular previously supported, including user-defined equational theories. cryptographic primitives [21], [37], [48], [24], [35]. -
CS 50010 Module 1
CS 50010 Module 1 Ben Harsha Apr 12, 2017 Course details ● Course is split into 2 modules ○ Module 1 (this one): Covers basic data structures and algorithms, along with math review. ○ Module 2: Probability, Statistics, Crypto ● Goal for module 1: Review basics needed for CS and specifically Information Security ○ Review topics you may not have seen in awhile ○ Cover relevant topics you may not have seen before IMPORTANT This course cannot be used on a plan of study except for the IS Professional Masters program Administrative details ● Office: HAAS G60 ● Office Hours: 1:00-2:00pm in my office ○ Can also email for an appointment, I’ll be in there often ● Course website ○ cs.purdue.edu/homes/bharsha/cs50010.html ○ Contains syllabus, homeworks, and projects Grading ● Module 1 and module are each 50% of the grade for CS 50010 ● Module 1 ○ 55% final ○ 20% projects ○ 20% assignments ○ 5% participation Boolean Logic ● Variables/Symbols: Can only be used to represent 1 or 0 ● Operations: ○ Negation ○ Conjunction (AND) ○ Disjunction (OR) ○ Exclusive or (XOR) ○ Implication ○ Double Implication ● Truth Tables: Can be defined for all of these functions Operations ● Negation (¬p, p, pC, not p) - inverts the symbol. 1 becomes 0, 0 becomes 1 ● Conjunction (p ∧ q, p && q, p and q) - true when both p and q are true. False otherwise ● Disjunction (p v q, p || q, p or q) - True if at least one of p or q is true ● Exclusive Or (p xor q, p ⊻ q, p ⊕ q) - True if exactly one of p or q is true ● Implication (p → q) - True if p is false or q is true (q v ¬p) ● -
Least Sensitive (Most Robust) Fuzzy “Exclusive Or” Operations
Need for Fuzzy . A Crisp \Exclusive Or" . Need for the Least . Least Sensitive For t-Norms and t- . Definition of a Fuzzy . (Most Robust) Main Result Interpretation of the . Fuzzy \Exclusive Or" Fuzzy \Exclusive Or" . Operations Home Page Title Page 1 2 Jesus E. Hernandez and Jaime Nava JJ II 1Department of Electrical and J I Computer Engineering 2Department of Computer Science Page1 of 13 University of Texas at El Paso Go Back El Paso, TX 79968 [email protected] Full Screen [email protected] Close Quit Need for Fuzzy . 1. Need for Fuzzy \Exclusive Or" Operations A Crisp \Exclusive Or" . Need for the Least . • One of the main objectives of fuzzy logic is to formalize For t-Norms and t- . commonsense and expert reasoning. Definition of a Fuzzy . • People use logical connectives like \and" and \or". Main Result • Commonsense \or" can mean both \inclusive or" and Interpretation of the . \exclusive or". Fuzzy \Exclusive Or" . Home Page • Example: A vending machine can produce either a coke or a diet coke, but not both. Title Page • In mathematics and computer science, \inclusive or" JJ II is the one most frequently used as a basic operation. J I • Fact: \Exclusive or" is also used in commonsense and Page2 of 13 expert reasoning. Go Back • Thus: There is a practical need for a fuzzy version. Full Screen • Comment: \exclusive or" is actively used in computer Close design and in quantum computing algorithms Quit Need for Fuzzy . 2. A Crisp \Exclusive Or" Operation: A Reminder A Crisp \Exclusive Or" . Need for the Least . -
Digital IC Listing
BELS Digital IC Report Package BELS Unit PartName Type Location ID # Price Type CMOS 74HC00, Quad 2-Input NAND Gate DIP-14 3 - A 500 0.24 74HCT00, Quad 2-Input NAND Gate DIP-14 3 - A 501 0.36 74HC02, Quad 2 Input NOR DIP-14 3 - A 417 0.24 74HC04, Hex Inverter, buffered DIP-14 3 - A 418 0.24 74HC04, Hex Inverter (buffered) DIP-14 3 - A 511 0.24 74HCT04, Hex Inverter (Open Collector) DIP-14 3 - A 512 0.36 74HC08, Quad 2 Input AND Gate DIP-14 3 - A 408 0.24 74HC10, Triple 3-Input NAND DIP-14 3 - A 419 0.31 74HC32, Quad OR DIP-14 3 - B 409 0.24 74HC32, Quad 2-Input OR Gates DIP-14 3 - B 543 0.24 74HC138, 3-line to 8-line decoder / demultiplexer DIP-16 3 - C 603 1.05 74HCT139, Dual 2-line to 4-line decoders / demultiplexers DIP-16 3 - C 605 0.86 74HC154, 4-16 line decoder/demulitplexer, 0.3 wide DIP - Small none 445 1.49 74HC154W, 4-16 line decoder/demultiplexer, 0.6wide DIP none 446 1.86 74HC190, Synchronous 4-Bit Up/Down Decade and Binary Counters DIP-16 3 - D 637 74HCT240, Octal Buffers and Line Drivers w/ 3-State outputs DIP-20 3 - D 643 1.04 74HC244, Octal Buffers And Line Drivers w/ 3-State outputs DIP-20 3 - D 647 1.43 74HCT245, Octal Bus Transceivers w/ 3-State outputs DIP-20 3 - D 649 1.13 74HCT273, Octal D-Type Flip-Flops w/ Clear DIP-20 3 - D 658 1.35 74HCT373, Octal Transparent D-Type Latches w/ 3-State outputs DIP-20 3 - E 666 1.35 74HCT377, Octal D-Type Flip-Flops w/ Clock Enable DIP-20 3 - E 669 1.50 74HCT573, Octal Transparent D-Type Latches w/ 3-State outputs DIP-20 3 - E 674 0.88 Type CMOS CD4000 Series CD4001, Quad 2-input -
The Equation for the 3-Input XOR Gate Is Derived As Follows
The equation for the 3-input XOR gate is derived as follows The last four product terms in the above derivation are the four 1-minterms in the 3-input XOR truth table. For 3 or more inputs, the XOR gate has a value of 1when there is an odd number of 1’s in the inputs, otherwise, it is a 0. Notice also that the truth tables for the 3-input XOR and XNOR gates are identical. It turns out that for an even number of inputs, XOR is the inverse of XNOR, but for an odd number of inputs, XOR is equal to XNOR. All these gates can be interconnected together to form large complex circuits which we call networks. These networks can be described graphically using circuit diagrams, with Boolean expressions or with truth tables. 3.2 Describing Logic Circuits Algebraically Any logic circuit, no matter how complex, may be completely described using the Boolean operations previously defined, because of the OR gate, AND gate, and NOT circuit are the basic building blocks of digital systems. For example consider the circuit shown in Figure 1.3(c). The circuit has three inputs, A, B, and C, and a single output, x. Utilizing the Boolean expression for each gate, we can easily determine the expression for the output. The expression for the AND gate output is written A B. This AND output is connected as an input to the OR gate along with C, another input. The OR gate operates on its inputs such that its output is the OR sum of the inputs. -
Logic, Proofs
CHAPTER 1 Logic, Proofs 1.1. Propositions A proposition 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. 1.1.1. Connectives, Truth Tables. 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” ↔ The truth value of a compound proposition depends only on the value of its components. Writing F for “false” and T for “true”, we can summarize the meaning of the connectives in the following way: 6 1.1. PROPOSITIONS 7 p q p p q p q p q p q p q T T ¬F T∧ T∨ ⊕F →T ↔T T F F F T T F F F T T F T T T F F F T F F F T T Note that represents a non-exclusive or, i.e., p q is true when any of p, q is true∨ and also when both are true. -
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. -
Boolean Algebra
Boolean Algebra ECE 152A – Winter 2012 Reading Assignment Brown and Vranesic 2 Introduction to Logic Circuits 2.5 Boolean Algebra 2.5.1 The Venn Diagram 2.5.2 Notation and Terminology 2.5.3 Precedence of Operations 2.6 Synthesis Using AND, OR and NOT Gates 2.6.1 Sum-of-Products and Product of Sums Forms January 11, 2012 ECE 152A - Digital Design Principles 2 Reading Assignment Brown and Vranesic (cont) 2 Introduction to Logic Circuits (cont) 2.7 NAND and NOR Logic Networks 2.8 Design Examples 2.8.1 Three-Way Light Control 2.8.2 Multiplexer Circuit January 11, 2012 ECE 152A - Digital Design Principles 3 Reading Assignment Roth 2 Boolean Algebra 2.3 Boolean Expressions and Truth Tables 2.4 Basic Theorems 2.5 Commutative, Associative, and Distributive Laws 2.6 Simplification Theorems 2.7 Multiplying Out and Factoring 2.8 DeMorgan’s Laws January 11, 2012 ECE 152A - Digital Design Principles 4 Reading Assignment Roth (cont) 3 Boolean Algebra (Continued) 3.1 Multiplying Out and Factoring Expressions 3.2 Exclusive-OR and Equivalence Operation 3.3 The Consensus Theorem 3.4 Algebraic Simplification of Switching Expressions January 11, 2012 ECE 152A - Digital Design Principles 5 Reading Assignment Roth (cont) 4 Applications of Boolean Algebra Minterm and Maxterm Expressions 4.3 Minterm and Maxterm Expansions 7 Multi-Level Gate Circuits NAND and NOR Gates 7.2 NAND and NOR Gates 7.3 Design of Two-Level Circuits Using NAND and NOR Gates 7.5 Circuit Conversion Using Alternative Gate Symbols January 11, 2012 ECE 152A - Digital Design Principles 6 Boolean Algebra Axioms of Boolean Algebra Axioms generally presented without proof 0 · 0 = 0 1 + 1 = 1 1 · 1 = 1 0 + 0 = 0 0 · 1 = 1 · 0 = 0 1 + 0 = 0 + 1 = 1 if X = 0, then X’ = 1 if X = 1, then X’ = 0 January 11, 2012 ECE 152A - Digital Design Principles 7 Boolean Algebra The Principle of Duality from Zvi Kohavi, Switching and Finite Automata Theory “We observe that all the preceding properties are grouped in pairs. -
Exclusive Or. Compound Statements. Order of Operations. Logically Equivalent Statements
MATH110 Lecturenotes–1 Exclusive or. Compound statements. Order of operations. Logically equivalent statements. Expressing some operations in terms of others. Exclusive or (exclusive disjunction). Exclusive or (aka exclusive disjunction) is an operation denoted by ⊕ and defined by the following truth table: P Q P ⊕ Q T T F T F T F T T F F F So, P ⊕ Q means “either P or Q, but not both.” Compound statements. A compound statement is an expression with one or more propositional vari- able(s) and two or more logical connectives (operators). Examples: • (P ∧ Q) → R • (¬P → (Q ∨ P )) ∨ (¬Q) • ¬(¬P ). Given the truth value of each propositional variable, we can determine the truth value of the compound statement. 1 Order of operations. Just like in algebra, expressions in parentheses are evaluated first. Otherwise, negations are performed first, then conjunctions, followed by disjunctions (in- cluding exclusive disjunctions), implications, and, finally, the biconditionals. For example, if P is True, Q is False, and R is True, then the truth value of ¬P → Q∧(R∨P ) is computed as follows: first, in parentheses we have R∨P is True, next, ¬P is False, then Q ∧ (R ∨ P ) is False, so ¬P → Q ∧ (R ∨ P ) is True. In other words, ¬P → Q ∧ (R ∨ P ) is equivalent to (¬P ) → (Q ∧ (R ∨ P )). Remark. The order given above is the most often used one. Some authors use other orders. In particular, many authors treat ∧ and ∨ equally (so these are evaluated in the order in which they appear in the expression, just like × and ÷ in algebra), and → and ↔ equally (but after ∧ and ∨, like + and − are performed after × and ÷). -
Solving Logic Problems with a Twist
Transformations Volume 6 Issue 1 Winter 2020 Article 6 11-30-2020 Solving Logic Problems with a Twist Angie Su Nova Southeastern University, [email protected] Bhagi Phuel Chloe Johnson Dylan Mandolini Shawlyn Fleming Follow this and additional works at: https://nsuworks.nova.edu/transformations Part of the Science and Mathematics Education Commons, and the Teacher Education and Professional Development Commons Recommended Citation Su, Angie; Bhagi Phuel; Chloe Johnson; Dylan Mandolini; and Shawlyn Fleming (2020) "Solving Logic Problems with a Twist," Transformations: Vol. 6 : Iss. 1 , Article 6. Available at: https://nsuworks.nova.edu/transformations/vol6/iss1/6 This Article is brought to you for free and open access by the Abraham S. Fischler College of Education at NSUWorks. It has been accepted for inclusion in Transformations by an authorized editor of NSUWorks. For more information, please contact [email protected]. Solving Logic Problems with a Twist Cover Page Footnote This article was originally published in the Dimensions Journal, A publication of the Florida Council of Teachers of Mathematics Journal. This article is available in Transformations: https://nsuworks.nova.edu/transformations/vol6/iss1/6 Su, Hui Fang Huang, Bhagi Phuel, Chloe Johnson, Dylan Mandolini, and Shawlyn Fleming Solving Logic Problems with a Twist Solving Logic Problems with a Twist Hui Fang Huang Su, Bhagi Phuel, Chloe Johnson, Dylan Mandolini, and Shawlyn Fleming Review of Symbolic Logic Aristotle, Greek philosopher and scientist, was a pupil of Plato and asserted that any logical argument is reducible to two premises and a conclusion (Gullberg, 1997). According to classical (Aristotelian) logic, arguments are governed by three fundamental laws: the principle of identity, the principle of the excluded middle, and the principle of contradiction.