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Homework Solutions for MAT 3570: Binary Representations and Conversions by Isaac Newton, Assignments of Mathematical Methods for Numerical Analysis and Optimization

Eastern Illinois University (EIU)Mathematical Methods for Numerical Analysis and Optimization

The solutions to homework 4 for the mat 3570 course, focusing on finding binary representations of base 10 integers, converting base 10 numbers to binary, and vice versa. Students will learn how to represent decimal numbers in binary format and perform conversions.

Typology: Assignments

2009/2010

Uploaded on 02/25/2010

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Download Homework Solutions for MAT 3570: Binary Representations and Conversions by Isaac Newton and more Assignments Mathematical Methods for Numerical Analysis and Optimization in PDF only on Docsity! Homework 4 Isaac Newton Page 8, Ex. 1, 2, 3, 4 abcfg MAT 3570 January 29, 2010 Exercise 1. Find the binary representation of the following base 10 integers: (a) 64 (b) 17 (c) 79 (d) 227 Solution. Exercise 2. Convert the following base 10 numbers to binary. Use overbar notation for nontermi- nating binary numbers. (a) 10.5 (b) 1/3 (c) 5/7 (d) 12.8 (e) 55.4 (f) 0.1 Solution. Exercise 3. Find the first 15 bits in the binary expansion of π. Solution. Exercise 4. Convert the following binary numbers to base 10. (a) 1010101 (b) 1011.101 (c) 10111.01 (f) 110.1101 (g) 10.0101101 Solution.

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