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Basically imagine numbers represented in scientific notation - some bits represent the mantissa, some bits the exponents. For more details, read the following Wikipedia article: http://en.wikipedia.org/wiki/Floating_point

It is also possible to represent numbers as a text (string) - this makes it possible to use numbers of an arbitrary size, with arbitrary precision, and without rounding errors (at least, for certain operations). For example, Java has a class called BigDecimal, precisely for this purpose.

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Q: How are real numbers represented in computers?
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