In common mathematical notation, the digit string can be of any length, and the location of the radix point is indicated by placing an explicit fixed-point systems, a position in the string is specified for the radix point.
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Commonly in secondary schools'mathematics education, the real numbers are constructed by defining a number using an integer followed by a radix point and an infinite sequence written out as a string to represent the fractional part of any given real number.
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Balancing this requirement for added precision to the right of the radix point, exponents less than 512 only require 9 bits to the left of the radix point and exponents less than 256 require only 8 bits to the left of the radix point.
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Balancing this requirement for added precision to the right of the radix point, exponents less than 512 only require 9 bits to the left of the radix point and exponents less than 256 require only 8 bits to the left of the radix point.
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Balancing this requirement for added precision to the right of the radix point, exponents less than 512 only require 9 bits to the left of the radix point and exponents less than 256 require only 8 bits to the left of the radix point.
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As explained in recurring decimals, whenever an irreducible fraction is written in radix point notation in any base, the fraction can be expressed exactly ( terminates ) if and only if all the prime factors of its denominator are also prime factors of the base.
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In practice values of M less than \ sqrt { 2 } require 53 bits to the right of the radix point and values of M less than \ sqrt [ 4 ] { 2 } require 54 bits to the right of the radix point to avoid precision loss.
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In practice values of M less than \ sqrt { 2 } require 53 bits to the right of the radix point and values of M less than \ sqrt [ 4 ] { 2 } require 54 bits to the right of the radix point to avoid precision loss.
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In computing, a "'fixed-point number "'representation is a real data type for a number that has a fixed number of digits after ( and sometimes also before ) the radix point ( after the decimal point'.'in English decimal notation ).
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The term " floating point " refers to the fact that a number's radix point ( " decimal point ", or, more commonly in computers, " binary point " ) can " float "; that is, it can be placed anywhere relative to the significant digits of the number.
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