the Guidance Of Mr. Arun Kumar Chatterjee Lecturer‚ ECED Department of Electronics and Communication Engineering THAPAR UNIVERSITY (Formerly Known as Thapar Institute of Engineering and Technology) PATIALA-147004‚ INDIA June – 2009 DECLARATION I hereby declare that the work which is being presented in the thesis entitled‚ “Analysis‚ Verification and FPGA Implementation of Vedic Multiplier with BIST Capability” in partial fulfillment of the requirement for the award of degree of M.Tech (VLSI
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CHAPTER 2 WHOLE NUMBERS What have we discussed? 1. The number 1‚ 2‚ 3… which use for counting are known as natural number. 2. If you add 1 to a natural number‚ we get its successor‚ if you subtract 1 from a natural number‚ you get its predecessor. 3. Every natural number has a successor. Every natural number except 1 has a predecessor. 4. If add the number zero to the collection of the natural numbers‚ we get the collection of whole numbers. Thus‚ the number 0‚ 1‚ 2‚
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Express the following propositions in symbolic form‚ and identify the principal connective: (a) Either Karen is studying computing and Minh is not studying mathematics‚ or Minh is studying mathematics. (b) It is not the case that if it is sunny then I will carry an umbrella. (c) The program will terminate if and only if the input is not numeric or the escape key is pressed. (d) If x = 7 and y"4 and z = 2‚ then if it is not true that either y = 4 or z"2 then x = 7 or z = 2. 2. Determine the truth
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Centre Number Candidate Number General Certificate of Secondary Education 2013 Mathematics Unit T4 (With calculator) Higher Tier *GMT31* [GMT41] *GMT41* TUESDAY 11 JUNE‚ 9.15 am – 11.15 am TIME 2 hours. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number in the spaces provided at the top of this page. You must answer the questions in the spaces provided. Do not write outside the box‚ around each page‚ on blank pages or tracing paper. Complete
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apply this strategy‚ I would separate the students into multiple small groups of 3-4 students each. Then I would assign a worksheet or problem for them to work through together. They would then have an additional problem or worksheet to work on individually and when finished use peer review to review their work. Critical Thinking- Games- Games are a great way to get students interested in any subject. The purpose of games is to appeal to children’s sense of fun and using math in a game will get
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Sing Yin Secondary School First Term Examination‚ 2009 – 2010 Mathematics 1 Form 3 Full marks: 100 Answer ALL questions. Unless otherwise specified‚ all working must be clearly shown. The diagrams in this paper are not necessarily drawn to scale. Unless otherwise specified‚ numerical answers should either be exact or correct to 3 significant figures. 1. 2. Time allowed: 1.5 hours Simplify 2 8 + 24 . x 2 − 5x − 6 ‚ x 3 − 27 . ( ) (4 marks) Factorize (a) (b) (4 marks) (4
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Chris Hogan 12/10/12 p. 3 Chapter 4 paper In this chapter one of the first things we learned was that you can make complex equations look simpler by making substitutions. Take the equation: 2tan2-3tan-2=0 To make this look simpler you can substitute u for tan to get: 2u2-3u-2=0 From there you can us the quadratic formula to get: u= -0.5‚ 2 With this you can now say tan=2 and tan=-0.5 which makes solving for much easier. In this case substitutions made solving much easier and less
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Mathematics is Not a Language Language can be defined as the following: A medium in which communication occurs. However‚ there may be many misperceptions that mathematics is a language. One may argue that one can utilize numbers to represent certain letters in the alphabet‚ for example‚ a= 1‚ b = 2‚ c = 3. It is just using numbers‚ to represent a language. However‚ this is not mathematics. Numbers themselves can be a language‚ however numbers are just symbols. Numbers are not mathematics. Do
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v1.1 Centre Number Surname Other Names Candidate Signature Candidate Number General Certificate of Secondary Education Information and Communication Technology Unit 3 Practical Problem Solving in ICT 45203/CB2 Candidate Booklet: Problem 2 Valid for examination in 2011‚ 2012 and 2013 It is recommended that you spend 25 hours in completing this problem. Before starting work on the problem‚ read the whole of this Candidate Booklet thoroughly. There are restrictions on when
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Multiplication Facts 0 - 12 worksheet A Name_____________________________ Date _____________ Score ______/100 Minute Marker 1 2 3 4 5 Multiplication Facts 0 - 12 Five minute timed drill with 100 problems. 4 × 4 6 × 3 7 × 4 0 × 0 2 × 2 7 × 1 5 × 3 2 × 1 10 × 7 9 × 1 8 × 0 12 × 6 11 × 5 10 × 8 3 × 1 11 × 9 5 × 2 3 × 3 12 × 4 10 × 1 10 × 10 12 × 0 10 × 2 9 × 7 11 × 8 4 × 3 10 × 5
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