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#32 Bits Representation of Float Number

Enter a float: 34.789
Your float was read as: 34.789001
Your float in 32 bits: 01000010000010110010011111110000
Sign: 0
Exponent: 10000100
Fraction: 00010110010011111110000

Creating the fraction:
fraction = 1.000000 (the implicit 1)
fraction = 1.000000, after skipping 0.500000
fraction = 1.000000, after skipping 0.250000
fraction = 1.000000, after skipping 0.125000
fraction = 1.062500, after adding 0.062500
fraction = 1.062500, after skipping 0.031250
fraction = 1.078125, after adding 0.015625
fraction = 1.085938, after adding 0.007812
fraction = 1.085938, after skipping 0.003906
fraction = 1.085938, after skipping 0.001953
fraction = 1.086914, after adding 0.000977
fraction = 1.086914, after skipping 0.000488
fraction = 1.086914, after skipping 0.000244
fraction = 1.087036, after adding 0.000122
fraction = 1.087097, after adding 0.000061
fraction = 1.087128, after adding 0.000031
fraction = 1.087143, after adding 0.000015
fraction = 1.087151, after adding 0.000008
fraction = 1.087154, after adding 0.000004
fraction = 1.087156, after adding 0.000002
fraction = 1.087156, after skipping 0.000001
fraction = 1.087156, after skipping 0.000000
fraction = 1.087156, after skipping 0.000000
fraction = 1.087156, after skipping 0.000000

Applying the exponent:
unbiased exponent = 5
times 2 = 2.174313
times 2 = 4.348625
times 2 = 8.697250
times 2 = 17.394501
times 2 = 34.789001

Final Answer: 34.789001