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See the wikipedia page on the topic: https://en.wikipedia.org/wiki/IEEE_754-2008

Basically you have a sign bit, an exponent part, and a mantissa part, and they represent the number

`(1-2*sign_bit) * (1.0 + mantissa) * 2^(exponent - K)`

where K is a constant, exponent is interpreted as an unsigned integer, and mantissa is interpreted as the bits (of a base 2 number) *after* the decimal point, forming the number 1.abcdefghijklm... where abcdefghijklm... are the bits of the mantissa. And sign_bit is 0 or 1 of course.

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