Basic Engineering Boolean Algebra and Logic Gates F Hamer‚ M Lavelle & D McMullan The aim of this document is to provide a short‚ self assessment programme for students who wish to understand the basic techniques of logic gates. c 2005 Email: chamer‚ mlavelle‚ dmcmullan@plymouth.ac.uk Last Revision Date: August 31‚ 2006 Version 1.0 Table of Contents 1. 2. 3. 4. 5. Logic Gates (Introduction) Truth Tables Basic Rules of Boolean Algebra Boolean Algebra Final Quiz Solutions to Exercises Solutions
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KENYA METHODIST UNIVERSITY END OF 3RD TRIMESTER 2012 (EVENING) EXAMINATIONS FACULTY:SCIENCE AND TECHNOLOGY DEPARTMENT:PURE AND APPLIED SCIENCES UNIT CODE: MATH 110 UNIT TITLE:LINEAR ALGEBRA 1 TIME:2 hours Instructions: Answer question one and any other two questions. Question One (30 marks) Find the determinant of the following matrices. -4 8 (2 marks) 0 1 1 -3 -2 (3 marks) 2 -4 -3 -3 6 +8 Find the values of x and y if:(5 marks) x + 2y 14 = 4
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KEY HONORS ALGEBRA 2 B 1. a. d. 2. a. d. a1 3‚ Semester Exam Review b. b. an 4 an1 an 3 4n 1 an 1 3 n 1 3n 2 c. 805‚306‚368 1‚073‚741‚823 a1 1 an an 1 3 c. 178 5370 3. 4624.577 cm3 4. 2805 seats 5. a. 6. a. 3 7. a. 81 b. 8. a. a 4b9 b. 1 3 17 3 7 b. 4 or 3 7 b. 4 1 9 x4 5 c. 24 5 c. x 2 or
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Algebra Review 1. Evaluate the expression 1 2 17 B) − 2 1 C) 2 17 D) 2 3a + 2b when a = -3 and b = -4. 2 A) − 2. Simplify: A) B) C) D) 17 29 16 30 3+5• 6 −4 3. Simplify: A) 40 B) 18 C) 34 D) 12 Evaluate: 1 7 − 1 5 − 1 5 1 7 6 − 2 • 2 + 25 4. 3x − y if x = 2‚ y = 8‚ and z = –2. 6z − x A) B) C) D) CPT Review 4/17/01 1 5. Simplify: A) B) C) D) –2 2 11 2 11 − 2 14 − 30 2(− 4 ) 6. Use the distributive property to simplify. A) B) C) D) − 4x + 30 −
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Computer Linear Algebra-Individual Assignment Topic: Image Sharpening and softening (blurring and deblurring). Nowadays‚ technology has become very important in the society and so does image processing. People may not realize that they use this application everyday in the real life to makes life easier in many areas‚ such as business‚ medical‚ science‚ law enforcement. Image processing is an application where signal information of an image is analyzed and manipulated to transform it to a different
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Elements of Mathematics for Economists Bernard Cornet January 18‚ 2011 Contents Notation 1 Euclidean Spaces 1.1 Scalar Product and Associated Norm . . . . . . . . . . . . 1.1.1 Scalar Product . . . . . . . . . . . . . . . . . . . . 1.1.2 Norm Associated to a Scalar Product . . . . . . . . 1.1.3 Convergence in a Normed Space . . . . . . . . . . . 1.1.4 Euclidean Spaces and Hilbert Spaces . . . . . . . . 1.2 Matrices and Scalar Product . . . . . . . . . . . . . . . . . 1.2.1 Generalities on Matrices
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titled “Basic Algebra Skills-Real numbers & Algebraic Equations‚ Exponents & Scientific Notation‚ Radicals & Radical Exponents‚ and Polynomials”. I chose this presentation because I felt I needed to remember algebraic equations‚ exponents and polynomials. I have not had algebra for many years so this presentation was a very good refresher. It reminded me about real numbers and algebraic expressions and square roots. It was good to be reminded about the steps you take in algebra to solve an equation
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Al-Khwarizmi: The Father of Algebra Muhammed Ibn Musa al-Khwarizmi‚ was a mathematical pioneer‚ and is considered by many to be the greatest mathematician of the Islamic world‚ as well as the founder algebra. His book entitled Kitâb al-Mukhtasar fî Hisâb al-Jabr wa ’l-Muqâbala‚ which means “The Compendious Book on Calculation by Completion and Balancing‚” established algebra as an independent discipline. While his arithmetic work‚ possibly entitled Kitāb al-Jamʿ wa-l-tafrīq bi-ḥisāb al-Hind
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INTRODUCTION Abstract Algebra is more rightly considered meta-mathematics than mathematics proper‚ because it can be used to describe the structures that exist within mathematics from a general standpoint. The basic notions of Groups‚ Rings‚ Fields‚ and Algebraic Extensions provide a framework from which to examine almost all of mathematics. These notions serve as unifying concepts that interlace such seemingly disparate subjects as geometry‚ analysis‚ number theory‚ topology and even applied
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1. Solve S = 4v2 for v s = 4v² √s = 2v (√s)/2 = v 2. Solve M = 2x + 3y for y. -2x m-2x=3y /3y (m-2x)/3=3 3. Solve t = p+3r/6 for r. /6 6t=p+3r -p 6t-p=3r /3 (6t-p)/3=r 4. Solve V = π r2h for h. /pir^2 H=v/πr^2 5. Solve P = 2(l + w) for l. What are the missing values in the table? P w l 14 2 5 22 8 3 6. Create your own unique literal equation and solve for one of the variables. Show your work. Then‚ using complete sentences‚ explain how you solved for
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