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Chapter 11 Other Bases
Objectives
Rewrite numbers in expanded form.
Convert numbers in other bases to decimal numbers.
Convert decimal numbers to other bases.
We begin this chapter by recalling how numbers are represented in the familiar decimal system (base 10). Next we consider binary (base 2) numbers and the conversion between binary and decimal numbers. Then, we generalize the representation of numbers to bases other than 2 and 10. Finally, we present an algorithm that converts a (base 10) natural number to a numeral in a different base.