FloatingPointRepresentation

Float Number format:

31	30 - 23		22 - 0
Sign Bit 0+, 1-	Value = Exponent + 127		Significand

We note that the Significand is really 1.significand * 2^Exponent which doesn't allow us to represent 0. To allow this if all bits are 0, the number is 0. Also the value stored in the exponent field is really the exponent + 127. This exponential bias allows floating point numbers to be sorted like a regular number +/- is most important, exponent next most important, mantissa/significand least important.

Thus the numbers will be:

127

In Binary this will look like this:

00001111111

00000000000000000000

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