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The Microcontroller Idea Book - Jan Axelson's Lakeview Research

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Number Systems<br />

Appendix C<br />

Number Systems<br />

Designing and programming microcontroller circuits often involves working with different<br />

number systems, including hexadecimal and binary as well as familiar decimal numbers.<br />

Hexadecimal and binary systems are useful because they offer an easy-to-interpret way of<br />

expressing the bit- and byte-oriented values that computers use. This appendix is a review<br />

of these number systems.<br />

About Number Systems<br />

A number system provides a way to express numerical information. Each of the number<br />

systems described below varies in the number, or quantity, on which it is based (10, 2, or<br />

16). This determines, among other things, how many characters you need to express a given<br />

quantity.<br />

Decimal Numbers<br />

In the decimal number system used in everyday (non-computer) life, there are ten digits<br />

(0-9). Each digit in a number represents a value raised to a power of 10.<br />

<strong>The</strong> <strong>Microcontroller</strong> <strong>Idea</strong> <strong>Book</strong> 271

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