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    <p>My Haskell is non-existent. Here's a solution in JavaScript. As others have noted, the key is to calculate the binary logarithm to get the exponent.</p> <p>From <a href="http://blog.coolmuse.com/2012/06/21/getting-the-exponent-and-mantissa-from-a-javascript-number/" rel="nofollow">http://blog.coolmuse.com/2012/06/21/getting-the-exponent-and-mantissa-from-a-javascript-number/</a></p> <p><pre></p> <code>function decodeIEEE64 ( value ) { if ( typeof value !== "number" ) throw new TypeError( "value must be a Number" ); var result = { isNegative : false, exponent : 0, mantissa : 0 }; if ( value === 0 ) { return result; } // not finite? if ( !isFinite( value ) ) { result.exponent = 2047; if ( isNaN( value ) ) { result.isNegative = false; result.mantissa = 2251799813685248; // QNan } else { result.isNegative = value === -Infinity; result.mantissa = 0; } return result; } // negative? if ( value &lt; 0 ) { result.isNegative = true; value = -value; } // calculate biased exponent var e = 0; if ( value &gt;= Math.pow( 2, -1022 ) ) { // not denormalized // calculate integer part of binary logarithm var r = value; while ( r &lt; 1 ) { e -= 1; r *= 2; } while ( r &gt;= 2 ) { e += 1; r /= 2; } e += 1023; // add bias } result.exponent = e; // calculate mantissa if ( e != 0 ) { var f = value / Math.pow( 2, e - 1023 ); result.mantissa = Math.floor( (f - 1) * Math.pow( 2, 52 ) ); } else { // denormalized result.mantissa = Math.floor( value / Math.pow( 2, -1074 ) ); } return result; } </code></pre>
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    1. POExtracting the exponent and mantissa of a Javascript Number
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