how computer store a number a little bigger than machine epsilon?

Question

e.g I have stored a float number bigger than epsilon and less than 2epsilon, so how does the coumputer store such a number rather than change it into epsilon because of float number rules.

Epsilon is *relative*. You cannot make a number between 1 and 1+eps. But you can make many numbers between 0.001 and 0.001+eps. — Cris Luengo, Sep 10 '19 at 12:51
You may find [this information](https://stackoverflow.com/a/686454/2586922) useful — Luis Mendo, Sep 10 '19 at 13:59

score 0 · Answer 1 · answered Sep 10 '19 at 13:08

eps is defined as the smallest positive number that when added to 1.0 gives a number different than 1.0

If you want the smallest number near some other number x, use eps(x)

To see the details of how these numbers are stored, look into the IEEE specs for floating point numbers.

how computer store a number a little bigger than machine epsilon?

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