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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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Related questions

What are numbers expressed in the decimal system?

All real numbers can be represented in the decimal system. Complex numbers can be represented by a pair of numbers in the decimal system.


Can irrational numbers cannot be represented by points on the real number line?

These number can also be represented on real line.


What is a real number represented by?

The set of real numbers is represented by a fancy script "R". However, real numbers are just represented by a number (be it integer, rational, irrational, or otherwise). The key here is that it is not a complex number (number containing the imaginary number "i").


Why are rational irrational and real numbers not represented in tabular form?

Rational numbers are sometimes represented in tabular form, e.g. for proofs relating to different infinities. Irrational and real numbers are not because there is no way to do it.


Is 01296714785 real number?

0.1296714785 is a real number. All numbers that do not contain the square root of a negative number (represented by i) are real numbers.


What compose of real numbers?

The set of all real numbers usually represented by a capital R that is double vertical line in the left and bold.


Why Q is represented for rational numbers?

It stands for the quotient. The letter R stands for the set of Real numbers.


Rational and irrational numbers are complex numbers?

Rational and irrational numbers are real numbers. A complex number is represented by a+bi where a and b are real numbers. Zero is a real number therefore any real number is also complex whenever b=0


Is 4.83 a real number?

The number 4.83 is a real number. Real numbers include all whole numbers, fractions, and decimals that can be represented as quantities along a continuous line.


How do robots commitcate?

Robots are run by computers which communicate with numbers, represented by binary combinations of high and low voltages of electricity.


How do you write an irrational number in algebra?

There is no representation for irrational numbers: they are represented as real numbers that are not rational. The set of real numbers is R and set of rational numbers is Q so that the set of irrational numbers is the complement if Q in R.


Because they brake all types of information into units represented by numbers modern computers are best described as?

number crunchers, processors...