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Which bits of a byte are used to store the remainder in a float?

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A float in C++ is 4 bytes, correct? If I were to store the value 5.10 in a float, would the binary be like this? 00000000 00000101 (5) 00000000 00001010 (10) Then again, I'm just taking a guess.

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A float is:
01234567890123456789012345678901
SEEEEEEEEMMMMMMMMMMMMMMMMMMMMMMM


s=sign
m=mantissa
e=exponent

value of it = sign(s)*1.M*pow(2,e-127) (most of the time)

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