I have a feature that shows a characteristic of the instances. That characteristic can be present or not. If present it shows an almost normal distribution of values (actually a bit skewed to the right, but with a log transformation it becomes normalized). When the characteristic is not present in the instance, the value of the feature is just 0.
So at the end, I have a distribution with a lot of instances with value 0 and a bit far right from it the almost-normal distribution. I would like to split it in two different features: one that shows the absence/presence of the characteristic (easy), and a second that shows only a normal distribution without the annoying peak around zero.