document.write( "Question 1105379: Convert 82.11 to binary\r
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Algebra.Com's Answer #720193 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Convert 82.11 to binary \n" ); document.write( "---- \n" ); document.write( "the integer part is easy. \n" ); document.write( "82 = 5*16 + 2 \n" ); document.write( "--> 1010000 + 10 = 1010010 \n" ); document.write( "============= \n" ); document.write( "Assuming you mean just 0.11 and not repeating 0.11.... = 1/9 : \n" ); document.write( "--- \n" ); document.write( "11/100 = 1011/1100100 \n" ); document.write( "0.11 in binary is repeating. \n" ); document.write( "Doing the long division gives in binary: \n" ); document.write( "0.00011100001010001111 \n" ); document.write( "------- \n" ); document.write( "In Hex, it's 0.1C28F5C28F5C28F5C28F... (base 16) \n" ); document.write( "The repeating is obvious in Hex. \n" ); document.write( "82.11 in Hex --> 52.1C28F5C28F5C28F5C28F... \n" ); document.write( "---- \n" ); document.write( "Hex and binary are just a matter of grouping. \n" ); document.write( "Each Hex character --> 4 binary 0's and 1's \n" ); document.write( " \n" ); document.write( " |