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convert this decimal number 523.11 to binary
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the decimal number 523.11 converted to binary is 10000001011.11. 
  
it can be calculated by first converting the integer part of the decimal number (523) to binary, which is 10000001011, then converting the fractional part (0.11) to binary, which is .0001110000… in this case. the resulting binary number is 10000001011.0001110000…, where the trailing zeros are omitted, resulting in 10000001011.11.
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