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What Is a Number System l A number system is a way of counting things. l It uses symbols to represent quantities. l We discuss two important Number Systems:
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Decimal System ( Base 10 ) l Human beings use decimal system daily. l The Base 10 system has 10 basic digits: l 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. l The value of a digit depends on its position in the number: l 3 6 5 2 is read as ‘ three thousand six hundred fifty two’. l It has 2 ones , 5 tens , 6 hundreds and 3 thousands.
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Binary Systems ( Base 2 ) l Computers commonly use binary digits to represent numbers. It is the “Base 2” system. l Each digit can only take the value 0 or 1. l A 3 digit binary number has 23 different ways to represent numbers: 000 , 001 , 010 , 011 , 100 , 101 , 110 , and 111 . l The value of a digit 1 depends on its position. l The eight equivalent decimal numbers of the above 3-digit binary numbers are 0 , 1 , 2 , 3 , 4 , 5 , 6 , and 7 .
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Conversion Method Binary to Decimal l To convert a number in binary positional
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This note was uploaded on 01/20/2010 for the course MATH 107 taught by Professor Christinashow during the Spring '08 term at Mesa CC.

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RelativeResourceManager - Number Systems Christina Show...

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