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Binary representation of the floating-point numbers.

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Oleksii Trekhleb 2021-07-16 14:39:35 +02:00
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src/algorithms/math/binary-floating-point/README.md
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# Binary representation of floating-point numbers
Have you ever wondered how computers store the floating-point numbers like `3.1415` (𝝿) or `9.109 × 10⁻³¹` (the mass of the electron in kg) in the memory which is limited by a finite number of ones and zeroes (aka bits)?
Have you ever wondered how computers store the floating-point numbers like `3.1416` (𝝿) or `9.109 × 10⁻³¹` (the mass of the electron in kg) in the memory which is limited by a finite number of ones and zeroes (aka bits)?
It seems pretty straightforward for integers (i.e. `17`). Let's say we have 16 bits (2 bytes) to store the number. In 16 bits we may store the integers in a range of `[0, 65535]`: