These are ESRI ASCII grid files:
$ head -6 sd5755_DSM_2m.asc
ncols 500
nrows 500
xllcorner 357000
yllcorner 455000
cellsize 2
NODATA_value -9999
with coordinates in OSGB grid references (EPSG code 27700). This is about the only thing GDAL doesn't know about them:
$ gdalinfo sd5755_DSM_2m.asc
Driver: AAIGrid/Arc/Info ASCII Grid
Files: sd5755_DSM_2m.asc
Size is 500, 500
Coordinate System is `'
Origin = (357000.000000000000000,456000.000000000000000)
Pixel Size = (2.000000000000000,-2.000000000000000)
Corner Coordinates:
Upper Left ( 357000.000, 456000.000)
Lower Left ( 357000.000, 455000.000)
Upper Right ( 358000.000, 456000.000)
Lower Right ( 358000.000, 455000.000)
Center ( 357500.000, 455500.000)
Band 1 Block=500x1 Type=Float32, ColorInterp=Undefined
NoData Value=-9999
so you'll have to tell your GIS about the CRS if you need to project it to anything else.