Question: how to: write a number in a base other than ten Add two or three numbers in a base other than ten Subtract two numbers

how to:
- write a number in a base other than ten
- Add two or three numbers in a base other than ten
- Subtract two numbers in a base other than ten
- Why do we learn to work with numbers in different bases?
Please provide detailed explanation and numerical examples for each answer.

WHAT AM I SUPPOSED TO LEARN? After studying this section, you should be able to: 1 Change numerals in bases other than ten to base ten. 2 Change base ten numerals t0 numerals in other bases. CHAPTER 4: Number Representation and Calculation Number Bases in Positional Systems YOU ARE BEING DRAWN DEEPER into cyberspace, spending more time online each week. With constantly improving high-resolution images, cyberspace is reshaping your life by nourishing shared enthusiasms. The people who built your computer talk of bandwidth that will give _ J .3 .. ' you the visual experience, in ' 2 .. . .35 o' high-definition 3-D format, of J a: e ' being in the same room with a person who is actually in another city. Because of our ten ngers and ten toes, the base ten Hindu-Arabic system seems to be an obvious choice. However, it is not base ten that computers use to process information and communicate with one another. Your experiences in cyberspace are sustained with a binary, or base two, system. In this section, we study numeration systems with bases other than ten. An understanding of such systems will help you to appreciate the nature of a positional system. You will also attain a better understanding of the computations you have used all of your life. You will even met tn (PP how the \\x'nrl lnnL'C frnni ('rnmltofc nint of view Change numerals in bases other than ten to base ten. TABLE 4.3 CHAPTER 4: Number Representation and Calculation Changing Numerals in Bases Other Than Ten to Base Ten The base of a positional numeration system refers to the number of individual digit symbols that can be used in that system as well as to the number whose powers define the place values. For example, the digit symbols in a base two system are 0 and 1. The place values in a base two system are powers of 2: ....24,23,22,21, 1 or...,2 X2X2X2,2 X 2X2,2>

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