Turbo Charging Computer with Mathematical Algorithms

Overview

Objectives/Goals How does the computer compute and does the computing time depends upon the speed of the computer itself or the method used to solve a given problem. Methods/Materials Materials. I used the following things in this project: (1) Old and New Computers, (2) Stop Watch, (3) Logic Gate Simulator, (4) Scratch Programming Environment. Method: To test my hypothesis I used a problem of adding N integer numbers starting from 1. There can be several methods we can use to program to solve this problem. I used following three methods: M(1) Adding each number in a loop of N iterations. M(2) Adding N+1 in a loop N/2 iterations. M(3) Adding N integers using a pre-computed mathematical formula. Results All three methods were implemented in Scratch programs and run for N = 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000. The time it took to complete the computation has been noted and plotted on a line graph. To compare the performance of the three methods on different computers following computers are used to test the speed of each method. (1) Computer with Intel Core i7, 8 Core Processors (2) Computer with Core 2 Quad Core, 4 Processors (3) Computer with Core 2 Duo, 2 Processors (4) Laptop with Intel Centrino Processor Extended Experiments Since the Scratch programs did not produce some sensible data to compare the speed of the different computers. I sought help from my father and implemented the same programs using Python environment on the following: (1) Desktop Computer with Intel Core i7 (dad#s) (2) iPhone 3Gs (3) Vintage Laptop with Intel Pentium II

Competition history

• CSEF 2010 Mathematics & Software · Entry J1608

Resources

• CSEF project summary ↗

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