Say if I have a processor like this which says # cores = 4, # threads = 4 and without Hyper-threading support.
Does that mean I can run 4 simultaneous program/process (since a core is capable of running only one thread)? Or does that mean I can run 4 x 4 = 16 program/process simultaneously?
From my digging, if no Hyper-threading, there will be only 1 thread (process) per core. Correct me if I am wrong.
That's basically correct, with the obvious qualifier that most operating systems let you execute far more tasks simultaneously than there are cores or threads, which they accomplish by interleaving the executing of instructions.
A system with hyperthreading generally has twice as many hardware threads as physical cores.