SGPA to CGPA Calculator
3 methods · 4.0 / 5.0 / 10.0 scales · Live result · Credit-weighted accuracy
Enter your SGPA for each semester. Use when all semesters have equal credit loads.
CGPA = (SGPA₁ + SGPA₂ + … + SGPAₙ) ÷ n
Know your total SGPA sum and number of semesters? Get your CGPA in one step.
CGPA = Total SGPA Sum ÷ Number of Semesters
Most accurate. Enter each semester’s SGPA and its total credits for a properly weighted CGPA.
CGPA = Σ(SGPAᵢ × Creditsᵢ) ÷ Σ(Creditsᵢ)
Target CGPA Predictor
Find out what SGPA you need next semester to hit your CGPA goal
What is SGPA and CGPA?
SGPA (Semester Grade Point Average) measures your academic performance in a single semester. It is calculated by taking the weighted average of grade points earned in all subjects, where each subject is weighted by its credit hours.
CGPA (Cumulative Grade Point Average) is the overall weighted average of all your SGPAs across every completed semester. It is the number printed on your degree certificate and used by employers and universities to evaluate your full academic record.
SGPA vs CGPA — Full Comparison
| Attribute | SGPA | CGPA |
|---|---|---|
| Full Form | Semester Grade Point Average | Cumulative Grade Point Average |
| Scope | One semester only | All completed semesters |
| Resets? | Yes — recalculated each semester | No — cumulates over entire programme |
| Used for | Monitoring per-semester progress | Placements, scholarships, admissions |
| Bad semester impact | That semester only | Lowers overall CGPA, recoverable later |
| Calculated by | Weighted avg of subject grade × credits | Weighted avg of all SGPAs × credits |
How to Convert SGPA to CGPA — 3 Methods
Method 1: Simple Average (Equal Credits)
- Write down your SGPA for every semester completed
- Add all the SGPAs together
- Divide by the total number of semesters — that is your CGPA
Example: SGPAs 8.0, 7.5, 8.5, 9.0 → Sum = 33.0 → CGPA = 33.0 ÷ 4 = 8.25
Method 2: Quick Total ÷ Semesters
If you already know the sum of all your SGPAs, divide it by the total number of semesters. This is mathematically identical to Method 1 and is useful when you don’t have individual values at hand.
Method 3: Credit-Weighted Average (Most Accurate)
- For each semester, multiply SGPA × total credits for that semester
- Sum all those products: Σ(SGPAi × Creditsi)
- Sum all credits across all semesters: Σ(Creditsi)
- Divide: CGPA = total points ÷ total credits
Example: SGPAs 7.0 (18 cr), 7.5 (20 cr), 8.0 (22 cr), 8.5 (20 cr) → Points = 622 → Credits = 80 → CGPA = 7.775
Common Errors to Avoid
- Incorrect credit weightage: Not all semesters carry the same credits — simple averaging gives a wrong CGPA in these cases.
- Rounding too early: Keep full decimal precision throughout. Round only the final CGPA result.
- Ignoring backlogs: Failed or repeated subjects affect SGPA and must be included in every calculation.
- Wrong scale: Applying a 4.0-scale formula on 10-point data produces completely incorrect results.
- Skipping verification: Always double-check with a calculator. Small manual errors compound significantly.
Worked Examples
Example 1 — Equal Credits (Simple Average)
SGPAs: 8.0, 7.5, 8.5, 9.0 — each semester 20 credits.
CGPA = (8.0 + 7.5 + 8.5 + 9.0) ÷ 4 = 33.0 ÷ 4 = 8.25
Example 2 — Unequal Credits (Weighted)
SGPAs: 7.0 (18 cr), 7.5 (20 cr), 8.0 (22 cr), 8.5 (20 cr).
Weighted points = (7.0×18) + (7.5×20) + (8.0×22) + (8.5×20) = 126 + 150 + 176 + 170 = 622
Total credits = 18 + 20 + 22 + 20 = 80
CGPA = 622 ÷ 80 = 7.775
Why CGPA Matters More Than SGPA
CGPA appears on your degree certificate and is the key metric for:
- Campus placement eligibility — most companies require a minimum CGPA of 6.5–7.0 on a 10-point scale
- Postgraduate admissions — top universities require CGPA 7.5+ (or GPA 3.0+)
- Government jobs and PSU recruitment — CGPA is a direct eligibility criterion
- Scholarships and fellowship applications
