# “Eps” (Solution)

## Answer

```
0.1 + 0.2 != 0.3
```

## Explanation

The `Double` numbers use the [IEEE 754](http://en.wikipedia.org/wiki/IEEE_floating_point) specification and they are stored in 64-bit binary format. Unfortunately, most decimal non-integer numbers can not be represented in the binary format. This fact affects affects to performing of arithmetic operations with floating-point numbers:

```csharp
// Displays '5.5511151231257827E-17'
Console.WriteLine("{0:R}", 0.1+0.2-0.3);
```

The proper way to compare `double` numbers is comparing with some epsilon. An example:

```csharp
public static bool IsEqual(double a, double b, double eps = 1e-9)
{
    return Math.Abs(a - b) < eps;
}
```

## Links

* [0.30000000000000004.com](http://0.30000000000000004.com/)

[Problem](/problembookdotnet/en/math/eps-p.md)


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