Hello Prathyusha

Well if are getting VLSI in any of the Top 4 NIT's then please go for it i request you. Don't even of think of IIt's. VLSI is a top top demanding stream not only in India but also abroad. 

If you can get into top 4 NIT's then you can surely excel in this field. 

So, Prathyusha if you have interest in VLSI then blindly opt for NIT's.