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SGPA to CGPA Calculator

Calculate your cumulative CGPA from semester SGPAs instantly. Uses the accurate credit-weighted formula required by VTU, Anna University, and Engineering colleges.

The Correct Formula

Many students make the mistake of simply adding their SGPAs and dividing by the number of semesters. This is incorrect because semesters have different "weights" (credits).

CGPA = Σ(SGPA × Credits) ÷ Σ(Total Credits)

(Weighted Average Method)

Why Simple Average Fails

Imagine you have two semesters:

  • Sem 1: 8.0 SGPA (20 Credits)
  • Sem 2: 9.0 SGPA (24 Credits)
Simple Average:8.50
Correct CGPA:8.54

*The 9.0 semester had more credits, so it pulled the grade up higher than 8.5.

SGPA vs. CGPA

FeatureSGPACGPA
Full FormSemester Grade Point AverageCumulative Grade Point Average
ScopeSingle Semester (6 Months)All Semesters to Date
Calculation BaseCourse Grades × Course CreditsSGPA × Semester Credits
UsageTracking short-term progressJob Placements & Degrees

University Standards

This calculator complies with the regulations of major Indian universities.

VTU (Karnataka)

Follows absolute grading. Total credits usually range from 18 to 24 per semester. Backlogs result in 0 credits for the subject.

Anna University

Regulation 2017/2021. CGPA is calculated from the first semester. Credits vary by department (CSE, ECE, MECH).

KTU (Kerala)

Calculates SGPA/CGPA to two decimal places. Failed courses are not included in the credit sum until passed.

Why Accuracy Matters

Placements

Companies typically set cutoffs at 6.0, 6.5, or 7.0. A miscalculation of 0.02 could disqualify you from an interview.

Higher Studies

Admission to MS/MBA programs (especially abroad) requires a precise CGPA for converting to the 4.0 scale correctly.

Degree Award

'First Class with Distinction' is often awarded at 7.75 (approx 70%). You need the exact decimal to know where you stand.

SGPA to CGPA FAQ

Common questions about converting semester grades to cumulative grades.

How is CGPA calculated from SGPA?
CGPA is calculated using a weighted average formula: Sum of (SGPA × Credits) divided by Sum of Total Credits. You simply multiply each semester's grade by its credit value, add them up, and divide by the total credits you earned.
Can I just average my SGPAs directly?
No! A simple average (SGPA1 + SGPA2 / 2) is inaccurate because different semesters have different credit loads. A semester with 24 credits impacts your CGPA more than a semester with 18 credits.
Does this work for VTU and Anna University?
Yes. This calculator uses the standard credit-weighted formula mandated by VTU, Anna University, JNTU, KTU, and most AICTE-approved engineering colleges in India.
How do backlogs affect CGPA calculation?
If you have an active backlog, you earn 0 credits for that subject, which lowers your SGPA. When calculating CGPA manually, use the SGPA shown on your mark sheet. Once you clear the backlog, your university will issue a revised SGPA, which will increase your CGPA.
How do I convert my final CGPA to Percentage?
The formula depends on your university. For VTU and many others, it is (CGPA - 0.75) * 10. For others, it might be CGPA * 10. Check our dedicated 'CGPA to Percentage' tool for specific formulas.