Appendix 1 (bisection algorithm) index 50 To find the square root of a number N the bisection method works as follows: | create 2 variables Left and Right, where Left = 0 and Right = number Find the midpoint between Left and Right If Midpoint Midpoint < number, then modify the value of the Left to be the value of midpoint • Otherwise, modify the value of the Right to be the value of the Midpoint. Step 1 Step 2 Repeat step 2 as much as needed! |For this TMA, you need to repeat step 2 only 5 times. Graphical Explanation of the bisection method for finding the square root of 50: Let L represent Left, R represent Right, and M represent Midpoint M25 R50 25* 25 > 50 M-12.5 R-25 12.5 125 > 50 6.25 * 6.25 < 50 M6.25 R12.5 9.375 * 9.375 > 50 Lu6.25 Re125 Now Left should be 6.25, Right should be 9.375 and the algorithm continues. To find the cube root of a number N the bisection method works as follows: Step 1 if the radicand is negative, then create a new radicand that is the opposite of the original number, which is positive! create 2 variables Left and Right, where Left = 0 and Right = number • Find the midpoint between Left and Right • f Midpoint * Midpoint Midpoint < number, then modify the value of the Left to be the value of midpoint Step 2 Step 3 Otherwise, modify the value of the Right to be the value of the Midpoint. Repeat step 2 as much as needed! For this TMA, you need to repeat step 2 only 5 times. If the radicand is negative, the radical should be the negative value of the number found, otherwise the radical should be the number found. Step 4
Appendix 1 (bisection algorithm) index 50 To find the square root of a number N the bisection method works as follows: | create 2 variables Left and Right, where Left = 0 and Right = number Find the midpoint between Left and Right If Midpoint Midpoint < number, then modify the value of the Left to be the value of midpoint • Otherwise, modify the value of the Right to be the value of the Midpoint. Step 1 Step 2 Repeat step 2 as much as needed! |For this TMA, you need to repeat step 2 only 5 times. Graphical Explanation of the bisection method for finding the square root of 50: Let L represent Left, R represent Right, and M represent Midpoint M25 R50 25* 25 > 50 M-12.5 R-25 12.5 125 > 50 6.25 * 6.25 < 50 M6.25 R12.5 9.375 * 9.375 > 50 Lu6.25 Re125 Now Left should be 6.25, Right should be 9.375 and the algorithm continues. To find the cube root of a number N the bisection method works as follows: Step 1 if the radicand is negative, then create a new radicand that is the opposite of the original number, which is positive! create 2 variables Left and Right, where Left = 0 and Right = number • Find the midpoint between Left and Right • f Midpoint * Midpoint Midpoint < number, then modify the value of the Left to be the value of midpoint Step 2 Step 3 Otherwise, modify the value of the Right to be the value of the Midpoint. Repeat step 2 as much as needed! For this TMA, you need to repeat step 2 only 5 times. If the radicand is negative, the radical should be the negative value of the number found, otherwise the radical should be the number found. Step 4
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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