Represents the normalized representation of floating point numbers
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Normalization is also calledNormalized number, is a representationFloating point numberCan also be modified byOrder codeAnd move at the same timeMantissaTo make it meet this specification.
Chinese name
Normalization
Foreign name
specification
Alias
Normalized number
Meaning
Denotes the normalized representation of floating point numbers
The normalized floating point number is calledNormalized number。stayFloating point numberIn order to represent the most validData bitsAt the same time, the floating point number has a fixed representation. The floating point number should be encoded in a certain standard, and the mantissa part should bepure decimalGiven and mantissalabsolute valueIt should be greater than or equal to 1/R and less than or equal to 1, that isdecimal pointThe first digit after is not zero.The specification of this representation is called the normalized representation of floating point numbers.Data that do not meet this requirement can be modified byOrder codeThe method of moving the mantissa at the same time makes it meet this specification.
Floating point numbers are allApproximate representationThe precision is determined by the mantissa, and the size of the number representation range is determined by R and E.In order to improve accuracy, it is necessary toSignificant digitsTake up as many available bits as possible.This measure is called the normalization of floating point numbers.Tailor of normalization requirements:
When R=2,
The process of converting a floating point number to normalization is called floating point number normalization.
Right gauge: move the mantissa one position to the right,Order code+1
Left gauge: mantissaShift LeftOne digit, order code - 1