Embedded Systems/VLSI

Greetings,
First of all you should know what you are approaching, embedded systems is loads of programming, where 128 mb is still lots of RAM in that universe of embedded programming. So if you are Interested in loads of coding where you want your software to affect your physical things and whats happening at the bottom of the architecture then you are at the right place, so get prepared. First check out that there are many good hobbyist embedded platforms available now (Arduino, Raspberry Pi, Particle, etc). They have lots of great communities to participate in and learn from. So you get the idea of whats going on. Now, on to your question, after BCA you will only have some programming skills, so its better you start working besides doing your course BCA whenever you get time. You can start with communities which I have mentioned above as they will give you a clear picture.
1) Learning of C
2) Learning of Basics Electronics important [you just need a basic understanding of voltage, current, power, resistance, ohms law. You probably can get by with just a few online tutorials and some experimenting with online simulators and/or real circuits.].
3) Get the EQUIPMENT soldiering iron, digital multi-meter and A hardware debugger/ JTAG adapter (such as an ST-Link, or OLMEX adapter),
4) Choose your Micro Controller and tool chain, so now you have all the fundamentals and you are ready to code. If you are interested in all of the above, you are on right track. If all of the above doesn't match with your interest, get a normal professional training after BCA like a training in SAP/Networking/JAVA.
Thanks!