document.write( "Question 362753: express the following decimal numbers as binary numbers.\r
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Algebra.Com's Answer #258669 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "109.062510\r\n" );
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document.write( "First convert the whole part 109 to binary this way:\r\n" );
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document.write( "Divide 109 by 2 = 54.5 that ends with .5, so the last digit is 1.\r\n" );
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document.write( "Divide the whole part 54 by 2 = 27, a whole number so 2nd to last digit is 0.\r\n" );
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document.write( "Divide 27 by 2 = 13.5 that ends with .5 so 3rd to last digit is 1\r\n" );
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document.write( "Divide the whole part 13 by 2 = 6.5, that ends with .5 so the 4th to last digit is 1.\r\n" );
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document.write( "Divide the whole part 6 by 2 = 3, a whole number so 5th to last digit is 0\r\n" );
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document.write( "Divide 3 by 2 = 1.5. That ends with .5 so 6th to last digit is 1\r\n" );
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document.write( "Divide the whole part 1 by 2 = 0.5, that ends with .5 so the 7th to last digit is 1.\r\n" );
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document.write( "The whole part is 0, so you're done with converting 109.\r\n" );
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document.write( "10910 = 11011012\r\n" );
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document.write( "Now we convert the fractional part .0625 to binary:\r\n" );
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document.write( "Multiply .0625 by 2 = .125, the whole part is 0, so the 1st radix point is 0.\r\n" );
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document.write( "Multiply .125 by 2 = .25, the whole part is 0, so the 2nd radix point is 0.\r\n" );
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document.write( "Multiply .25 by 2 = .5, the whole part is 0, so the 3rd radix point is 0.\r\n" );
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document.write( "Multiply .5 by 2 = 1, the whole part is 1, so the 4th radix point is 1.\r\n" );
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document.write( "There is no fractional point left over, so we are done, and the fractional\r\n" );
document.write( "part is .0001\r\n" );
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document.write( "So the conversion of 109.062510 is 1101101.00012\r\n" );
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document.write( "[If there had been a fractional part left over we would have multiplied just\r\n" );
document.write( "the fractional part by 2, and the next radix point is always the whole part,\r\n" );
document.write( "which will either be 1 or 0. \r\n" );
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document.write( "Edwin

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