Floating Point Bit Representation  

Type  Size in Bytes  Size in Bits  Accuracy  Range  Fields  Integers 
double  8 bytes  64 bits  14 to 15 significant digits 
±4.94065645841246544e324d to ±1.79769313486231570e+308d 
is formed of 3 fields: 1bit sign 11bit base 2 exponent biased+1023 52bit fraction, lead 1 implied e.g. 3. = 0x4008000000000000 3. = 0xC008000000000000 
a double can exactly represent integers in the range 2^{53} to +2^{53}. 
float  4 bytes  32 bits  6 to 7 significant digits  ±1.40129846432481707e45 to ±3.40282346638528860e+38 
is formed of 3 fields: 1bit sign 8bit base 2 exponent biased+127 23bit fraction, lead 1 implied e.g. 3. = 0x404000 3. = 0xC04000 
a float can exactly represent integers in the range 2^{24} to +2^{24}. 
To study the IEEE (Institute of Electrical & Electronics Engineers) format, you can use Double.doubleToLongBits and Double.longBitsToDouble.
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