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Ordinarily, all of the mantissa bits are used to express significant figures, in addition to a leading 1, which is implied and, thereforeas a result, left out. Floats, consequently, have 24 significant bits of precision; doubles have 53 significant bits of precision. Such numbers are called normalized numbers. All-floating point numbers are limited in this sense because they have fixed precision.

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[[IEEE 754

AA. Bibliography#IEEE 754 2006]]

 

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[[Bryant 2003

AA. Bibliography#Bryant 03]]

Computer Systems: A Programmer's Perspective. Section 2.4 Floating Point

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