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Representable number

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Representable numbers are are numbers capable of being represented exactly in a given binary number format. The format could can either be an integer or floating point numbers. Representable numbers are often visually depicted on a number line.

Integer examples

The integers 0 through 7 are representable in a 3 binary digit code in the usual binary number format. All other integers are not representable by in this format.

Floating point examples