Binary floating point cannot represent the value 0.1 exactly, because its binary expansion does not have a finite number of digits (in exactly the same way that the decimal expansion of 1/7 does not).

The binary expansion of 0.1 is

```
0.000110011001100110011001100...
```

When truncated to IEEE-754 single precision, this is approximately `0.100000001490116119`

in decimal. This means that each time you add the “nearly 0.1” value to your variable, you accumulate a small error – so the final value is slightly higher than `1.0`

.