Hello aspirant,

Well there are too many top colleges in Karnataka and Tamil Nadu where they provide CSE branch. Now to get admission into these colleges, either you have give their respective entrance tests or can apply for admission through JEE Main score. Below I have listed the top colleges in Karnataka and Tamil Nadu :

Colleges in Karnataka - 

• NIT Surathkal
• RV College of Engineering
• BMS College of Engineering
• Dayananda College of Engineering
• Manipal Institute of Technology
• New Horizon College of Engineering
• Ramaiah College of Engineering

Colleges in Tamil Nadu - 

• NIT Tiruchirappalli
• Alagappa College of Engineering
• Amrita College of Engineering
• Anna University
• Bharath Institute of higher Education and Research
• Coimbatore Institute of Technology
• Hindustan Institute of Technology and Science

You can also go through the links and checkout the list of all the top colleges in Karnataka and Tamil Nadu -  

• Top Colleges in Karnataka : https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-karnataka
• Top Colleges in Tamil Nadu : https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-tamil-nadu

Good Luck !!!