Why is the accuracy of calculations in float violated for numbers of a certain power of two?

Question

JavaScript

Hello! Can someone explain how floating point numbers work?
An example is the following: Why do problems with precision occur for groups of numbers starting with a power of two in such a calculation? The first group starts at 16, the second at 64, and the third at 2048. I understand floats aren't guaranteed to be accurate, but why is it acting this way in this case? Just curious.
_.range(0,2050).map(i => (i + 0.99) * 100);

Answer 1

Yes, floating point numbers are not guaranteed to be accurate. Read the Wikipedia article, it is quite adequate.
Don't count money in floating numbers :)

Answer 2

https://habrahabr.ru/post/112953/

Answer 3

It is probably connected with the peculiarities of translating fractional numbers into text. I tried to repeat it in C++, nothing interesting happened. On the other hand, G++ and GRISU methods for converting fractional to text give slightly different results.