How do you compile c files with clang into a binary format?

Generally, Linux commands aren't needlessly verbose - clang doesn't necessarily output anything to the terminal if the command succeeds. In the case of

clang exampledebugging.c

it should simply have created a binary executable with the default name a.out that you can execute using ./a.out. If you want the output file to be named differently, use the -o option:

clang exampledebugging.c -o exampledebugging

The GNU compilers gcc and g++ behave the same.