Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 4 - Number Representation and Calculation - 4.2 Number Bases in Positional Systems - Exercise Set 4.2 - Page 227: 83


The binary number system is counting system in machines. All digital systems use the binary system for manipulation of numbers. For instance, \[{{1000001}_{two}}\]binary value is letter “A” to represent on digital monitors. It is called ASCII code. Computers are a digital system. They can understand only machine language, that is, binary numbers, a series of 1’s and 0’s. They use machine language to accept “commands”, process, represent and communicate with other devices or to the real world. Like computers, any digital electronic device or system uses machine language. For large values, binary numbers become tremendous to interact with. Hexadecimal and octal number systems are used to make it more readable and easy to manipulate.
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