Since you are only a B.tech graduate..So,i don't think you have any brighter chances unless you are from IIT's,NIT's and other premier institutes where VLSI and EDA companies used to go and hire engineers,they trust people having post-graduation M.S/M.TECH/M.E degree.But that only doesn't ensure a job opportunity,i have seen many people struggling even after their post-graduation.So think wisely before entering into this challenging field .
VLSI happens to be a niche segment where companies want the best of the talent, Companies like cadence,mentor,synopsis,xilinx reach out the campuses to hire only the cream talent from the premier engineering colleges only
they do very planned hiring in this front,the talent pool is also very limited unlike the IT companies which hire, say 5000 people from campuses. After the economic slowdown in 2008,they are effective and consistent in terms of their hiring bulk hiring doesn't happens.When they look at the engineers they look for a very strong technical background who have got an understanding of VLSI design flow, who understand languages like C, C++, HDL, VeriLog, System VeriLog, VHDL,Perl,Shell etc.