hello,

Both of them are dealing with coding as you state. But they are extremely different.

VLSI interests in the design of computational elements like processors, buses, and memory elements. on other hand, Embedded System interests in dealing with the computational element to express some complex functionality.

For instance, for Processors, VLSI Engineers are the ones who concerned more about designing them, from specs to fabricated hardware. But Embedded System Engineers are the ones who cared much more about how to use these processors in real life applications like home automation, automotive fields (smart cars), water sensor system, Food industrial machines and so on .. In the same manner, the VLSI engineers don’t pay any attention to how to use their developed processors in real life application.

you can check one blog which deals with the difference in detail:

https://resources.pcb.cadence.com/blog/2019-embedded-systems-vs-vlsi-for-digital-systems-design#:~:text=Embedded%20systems%20design%20focuses%20on,structure%20for%20an%20integrated%20circuit.

If you want to do masters in foreign country then you need to give GRE and one language test like IELETS

hope this will help you

all the best!!