|YES, Linkage Editor is the program that collects the .bin binary files produced by the assembly or compile phase and generates the final executable .exe module.|
That is often forgotten, but a compiler or assembler just translates symbolic text to a raw binary module stil not executable as there are unresolved addresses to work out inside the code. The Linkage Editor does the job converting .bin into .exe.
In the FASM package you downloaded there is, I'm sure, an associated Linkage Editor to perform the described step. And there is a related command in the IDE as Compile translates (.asm into .bin), Run executes (a .exe) and ??? performs linkedit (i.e. from .bin to .exe).