Decimal, Binary, Octal and Hexadecimal Number Conversion
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Conversions From Binary, Octal and Hexadecimal to Decimal
Conversions to and from decimal are more complicated than conversions between binary, octal and hexadecimal, because 2, 8 and 16 are powers of two but ten is not. Of the two directions, conversions to decimal are easier: you take the value of each binary, octal or hexadecimal digit, convert it to decimal, and then multiply it by the power of 2, 8 or 16 represented by the digit's place in the number. Then you add all the numbers together. I did this in the previous topic with the example of the decimal number 211 (see Table 2).
Lets take an example of going from hexadecimal to decimal. Table 4 shows the hexadecimal number 0x830C converted to decimal (octal uses a similar process). Read the table from left to right, top to bottom; each digits value is multiplied by the appropriate power of 16 and added together, yielding the result 33,548 decimal.
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