!@I had a similar problem with building out presence/absence (0/1) rasters to the same extent as a larger raster that I wanted to include in a Spatial Analyst Tools>Local>Combine analysis on, so after a lot of angst, came up with the following solution:
Maybe not all the steps are necessary for your situation but it worked for me. The key is the Calculate statistics bit, which is apparently necessary for a lot of analysis and reclassifying tasks especially those involving NoData cells.
Cheers
Des