'Common divisor' diaporamas de présentation

CHAPTER 6: NUMBER THEORY Topics : - prime numbers, relative prime numbers, modular arithmetic, discovering primes, fin

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IMC ?????????????? ????? ~

IMC ?????????????? ????? ~. ?? : ??? ??. 1-1 ????. ???? four fundamental operations of arithmetic ????? commutative law of addition ????? commutative law of multiplication ??? parenthesis. 1-2 ???????. ??? common divisor ??? short division

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Cryptography (the art of scrambling)

Cryptography (the art of scrambling). Beside programming e-commerce applications, what other cs issues are there?. Application (web) design: HCI Data mining Server and client security (how can we protect our systems and data hackers malicious code denial-of-service (DOS) attacks privacy

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PART I Symmetric Ciphers CHAPTER 4 Finite Fields 4.1 Groups, Rings, and Fields

PART I Symmetric Ciphers CHAPTER 4 Finite Fields 4.1 Groups, Rings, and Fields 4.2 Modular Arithmetic 4.3 The Euclidean Algorithm 4.4 Finite Fields of the Form GF( p ) 4.5 Polynomial Arithmetic 4.6 Finite Fields of the Form GF(2 n ).

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Lecture 5

Lecture 5. Learning Objectives To apply division algorithm To apply the Euclidean algorithm. Algorithms. An algorithm is a systematic procedures (instructions) for calculation.

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CSCI 1900 Discrete Structures

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Algorithms

Algorithms. Problems, Algorithms, Programs. Problem - a well defined task. Sort a list of numbers. Find a particular item in a list. Find a winning chess move. Algorithms. A series of precise steps, known to stop eventually, that solve a problem. NOT necessarily tied to computers.

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3 Gallon Jug

Greatest Common Divisor. 3 Gallon Jug. 5 Gallon Jug. Lecture 8: Sep 29. This Lecture. In this lecture we will learn the Euclidean algorithm for computing greatest common divisor (GCD), which is one of the earliest important

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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Write the prime factorization of each number. 1. 20 2. 100 3. 30 4. 128 5. 70. 2 2 ? 5. 2 2 ? 5 2. 2 ? 3 ? 5. 2 7. 2 ? 5 ? 7. California Standards.

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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Write the prime factorization of each number. 1. 68 2. 225 3. 940 Find the greatest common divisor. 4. 27 and 45 5. 32 and 80. 2 2 ? 17. 3 2 ? 5 2. 2 2 ? 5 ? 47. 9. 16. California Standards.

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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Write the prime factorization of each number. 1. 68 2. 225 3. 940 Find the greatest common divisor. 4. 27 and 45 5. 32 and 80. 2 2 ? 17. 3 2 ? 5 2. 2 2 ? 5 ? 47. 9. 16. California Standards.

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CPTR311 Discrete Structures

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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Divide. 24. 12. 1. 36 ? 3 2. 144 ? 6. 3. 68 ? 17 4. 345 ? 115. 3. 4. 5. 1024 ? 64. 16. California Standards.

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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Divide. 24. 12. 1. 36 ? 3 2. 144 ? 6. 3. 68 ? 17 4. 345 ? 115. 3. 4. 5. 1024 ? 64. 16. California Standards.

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Fractions

Fractions. Simplifying Equivalences. Equivalent Fractions of one half. The bottom number is twice the top number. The top number is half the bottom number. In a fraction the top number is the numerator. The bottom number is the denominator.

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Dependency Test in Loops

Dependency Test in Loops. By Amala Gandhi. Data Dependence. Three types of data dependence: Flow (True) dependence : read-after-write int a, b, c; a = c * 10; b = 2 * a + c ; Anti Dependency: write-after-read int a, b, c; a = b* 4+ c; c = b + 40;

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Least Common Multiple

Least Common Multiple. Section 2.6. Objectives. Find the least common multiple (LCM) of two or more whole numbers using the Individual Prime-Factoring Method Find the least common multiple (LCM) of two or more whole numbers using the Group Prime-Factoring Method.

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Lab02

Lab02. Greatest Common Divisor Problem Short for GCD. Lab Description:. Given two natural numbers m and n, find the GCD of them. Definition 1: the GCD of m and n is the largest natural number that exactly divides both of them; i.e. it does not leave remainder. Find . Algorithm for GCD.

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