Computer Engineer

Computer engineering deals with designing, developing, and operating computer systems. At its core, Computer engineering concentrates on digital hardware devices and computers and the software that controls them. Advanced courses focus on standard designs and techniques for specific application domains. Computer Engineering emphasizes solving problems in digital hardware and at the hardware-software interface. Computer engineers are hired by computer hardware and networking design and manufacturing companies.
Computer science focuses on understanding, designing, and developing programs and computers. At its core, Computer Science concentrates on data, data transformation, and algorithms. Advanced courses present specialized programming techniques and specific application domains. CS graduates are hired by system and application development and maintenance IT companies.
In India very rarely universities offer separate degree courses in computer science and computer engineering. Most Universities in India offer Bachelor's in Technology Computer Science and Engineering which has both hardware and software courses. B.Tech CSE grads have maximum scope and opportunities in India. However, specialization as CE or CS is available at M.Tech or MS level.

Hello Mandar,
After completing class 12th, you need to appear for various entrance examinations. I would suggest you to appear for IIT JEE Mains and Advanced. These two entrance examinations provide admissions to IITs/ NITs and other government colleges, which are cost-effective.
I would also suggest you to appear for individual state examinations (OJEE in Odisha, EAMCET in Andhra Pradesh/ Telangana, COMEDK in Karnataka, etc.). These exams also guarantee you good colleges and serve as a backup in case things don't end up the way you've planned for IIT-JEE
Every state has its own share of good engineering colleges. So, don't underestimate or overlook them. They can prove to be vital. The more the entrance examinations you appear for, the more the options you will have for choosing colleges.
Certain private colleges like SRM, KIIT - Odisha, GITAM - Vishakhapatnam and ITER - Odisha conduct their own entrance examinations. You can opt for these as well.
After the results of those entrance examinations are announced, if you have a valid score and rank, you can attend the counselling procedure for the respective entrance examination. During the counselling procedure, you can select a college of your choice and the branch of engineering.
I hope it helps. If so, kindly, upvote this answer. If you've any further questions, kindly revert.