Computer arithmetic
Basic numerical methods - Numerical analysis

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Computer arithmetic
Basic numerical methods - Numerical analysis

Author : Claude BREZINSKI

Review date: November 19, 2019 | Lire en français

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1. Computer arithmetic

1.1 Normalized floating point

Let a be a real number. It can always be written in the form :

a = ± 0, a1 a 2 a 3 ... 10 q

with :

q
 : 
relative integer
a1, a 2 ... a i
 : 
decimal digits of a with a11 0.

We then say that a is written in normalized floating point. In general, the mantissea1 a2 a3 ... of a has an infinite number of digits (we say: digits or bits).

In a computer, each number is placed in a word. A...

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