How to get the decimal value from the bit representation of a float value?

For example: Float value is 12345.0

Bit representation on little endian machine: 00E44046

Actual Bit representation is : 4640E400

Bit representation: 01000110010000001110010000000000

Float interpretation: sign 1 bit, exponent 8 bits, fraction 23 bits.

         Sign    Exponent          Fraction

           0      10001100    10000001110010000000000

Decimal

value              140         4252672/2^23

 

Use normal interpretation:

E = 140-(2^(8-1)-1)

(1 + 4252672/2^23)*(2^(140-(2^(8-1)-1)))

2^23 = 8388608;

140-(2^(8-1)-1) = 13;

(1 + 4252672/2^23) = 1.5069580078125

(2^(140-(2^(8-1)-1))) = 8192

 

(1 + 4252672/2^23)*(2^(140-(2^(8-1)-1))) = 1.5069580078125 * 8192 = 12345

 

--
Happy day, happy life!