What is floating point format used for?

In search of a compromise between speed, size and representation accuracy, scientists have proposed floating point (or floating point) numbers. For some reason, floating point arithmetic is considered an exotic area of ​​computer science, given that the corresponding data types are present in every programming language.

Floating point numbers are one of the possible ways to represent real numbers, which is a compromise between precision and range of values.

A floating point number consists of a set of separate bits, conventionally divided into sign, order, and mantissa. The order and mantissa are integers that, together with a sign, give a floating point representation. Different types of computers use different options for representing numbers in floating point form.



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