IEEE floating point conversion

Converting a number from base 10 to 32-bit floating point integer:

Let's use an example number.
1701.125

The structure of a floating point number is this:

0	1 .... 8	9 ... 31
x   	xxxxxxxx	xxxxxxxx
^	^		^
Sign	Exponential	Fractional

Sign: Either a 0 or 1. 0 = positive, 1 = negative

We'll cover over exponential and fractional when we get there.

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1) Convert DEC to binary format.
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1001.125 is 11010100101.001 in binary format.

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2) Move the decimal spot so that it's in scientific notation.
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This process will help find the exponential bit, which is going to be
an 8-bit binary number.

So in the case of...
11010100101.001

The decimal point will move 10 times, so that it'll be:
1.1010100101001 * 2^10
You must remember how much you've moved it by, it plays a role next.

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3) Add that number to 127, then take the binary form of it.
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So 10 + 127 = 137.

137 will now need to be converted to binary form, which is:

10001001

You have now found the exponential bits. This goes inside slots 1-8
in the floating point number.

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4) All the numbers have after the decimal belong in the fractional.
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Our binary value is...
1.1010100101001 * 2^10

So 1010100101001 goes inside the fractional significand, starting from
bit 9.

After the number finishes, the rest of the bits will be 0 until you reach
bit 32.

So in this case, the fractional bit will contain:
10101001010010000000000

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5) Put them together...
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Sign: 0
Exponential: 10001001
Fractional: 10101001010010000000000

Final 32-bit floating point:
01000100110101001010010000000000

In Hex format:
44D4A400