Binary representation of real numbers


Real numbers :

Vulgar fraction with even denominator:

Vulgar fraction with odd  denominator  = other rational numbers


Irrational numbers have infinite decimal and binary expansions ( neither terminate nor recur ).


Underline digit : 0. 1 means digits repeating endlessly = 0.11111111111....
0.110  decimal digit = 1/10
0.12   binary digit = 1/ 2

Program which converts decimal fraction ( vulgar fraction) to binary form  in Delphi with sources



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Author: Adam Majewski adammaj1-at-o2-dot-pl   About

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