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I have a set of 4 DEMs for a study area however they don't overlap they only meet at the edges.

How do I collate the 4 into 1 DEM raster that I can then use to convert into contours and slope representation?

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Use the Mosaic to New Raster tool in the Data Management toolbox. This will accept your four DEMs as input and merge them together into one.

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From there you will need the Spatial Analyst extension to create contours and calculate slope.

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Try using production contouring. You do need an extension for it, but if you have it this can be a viable option.

See here: http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html#//010300000068000000.htm

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