Raster calculator : How to make 0 + NoData = 0?

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I have a point data layer (vector) that I converted to a raster layer. I want to replace the NoData value (between each raster point) in the point raster layer by 0. So, I made a background raster layer (value = 0).

My plan was to add the background layer of 0 to the point raster layer, but as we can see in the + (Addition) tool page, a number (0) + NoData = NoData.

Any tips on how to achieve this?

I'm using ArcGIS 10.3, but I also have access to QGIS 2.10.



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