Hii aspirant ..

Yes you are eligible to give GATE exam from computer science and engineering department and since you have done your under graduation from the same course it is even more beneficial for you as you already have studied much during under graduation course.

The list of departments of student can apply during appearing for GATE exam-

• Aerospace EngineeringAE
• Agricultural EngineeringAG
• Architecture and PlanningAR
• BiotechnologyBT
• Civil EngineeringCE
• Chemical EngineeringCH
• Computer Science & Information TechnologyCS
• ChemistryCY
• Electronics and Communication EngineeringEC
• Electrical EngineeringEE
• Engineering SciencesXE
• Petroleum EngineeringPE
• Geology and GeophysicsGG
• Instrumentation EngineeringIN
• Life SciencesXL
• MathematicsMA
• Mechanical EngineeringME
• Mining EngineeringMN
• Metallurgical EngineeringMT
• PhysicsPH
• Production and Industrial EngineeringPI
• Textile Engineering & Fibre ScienceTF
• Ecology and EvolutionEY
• Statistics

Hope it helps. 

Best of luck. 

Dear Student,

Yes, bachelor's degree holders in Engineering/Technology (4 years after 10+2 or 3 years after B.Sc./Diploma in Engineering/ Technology) and those who are in the final year of such programs can be eligible for this.