CGPA Calculator

How to use the CGPA calculator

1. Type one semester per line as SGPA, credits, for example 8.2, 24. You can add a label such as Sem 3: 8.2, 24, and pasting two columns from a spreadsheet also works.
2. If you don’t know the credits, leave them off every line. Each semester then counts equally, as explained below.
3. Read your CGPA, total credits, two quick percentage conversions and a semester-wise table that shows your CGPA after each semester.
4. To plan ahead, choose SGPA needed next semester and enter a target CGPA and next semester’s credits. The result is the lowest SGPA that gets you there.

SGPA to CGPA formula

CGPA = Σ(SGPA × credits) ÷ Σ credits

• SGPA is the semester grade point average of each semester, on a 10-point scale.
• Credits are the total credits of that semester, printed on your grade card.
• SGPA × credits is that semester’s credit points.

This is the formula in VTU’s 2022 regulations, written there as CGPA = Σ(Ci × Si) ÷ ΣCi, where Si is the SGPA of semester i and Ci its total credits. SGPA and CGPA are both rounded to two decimals. UGC’s CBCS curriculum document works its examples the same way.

Worked example: four semesters

CGPA = 752.4 ÷ 92 = 8.1783, which rounds to 8.18. As a percentage that is 81.8% on a × 10 rule or 77.71% on a × 9.5 rule.

Why CGPA isn’t the simple average of SGPAs

The plain average of the four SGPAs is (7.2 + 7.8 + 8.6 + 8.8) ÷ 4 = 8.10. The real CGPA is higher, 8.18, because semesters 3 and 4 carried 26 credits each and the weaker first year only 20. A semester with more credits contains more coursework, so it counts for more. VTU’s regulations say it directly: CGPA is a weighted mean, not an arithmetic mean.

The two methods agree only when every semester has the same credits. That’s why credits are optional here. If you don’t know them, or all your semesters are equal, the calculator falls back to a plain average and says so. With your grade cards in hand, always enter the credits.

UGC’s own illustration makes a good check. Six semesters with SGPAs of 6.9, 6.7, 9.15, 7.38, 7.75 and 8.0 and credits of 20, 20, 26, 26, 24 and 24 (140 in all) give a CGPA of 7.71. Type those into the calculator and you’ll get the same answer.

SGPA needed next semester for a target CGPA

SGPA needed = (target CGPA × total credits after next semester − credit points so far) ÷ next semester’s credits

From the worked example (752.4 credit points over 92 credits), with 24 credits next semester:

A perfect 10 next semester lifts this CGPA only to 8.56. Reaching 8.60 would take about 28 credits at a perfect 10, more than one semester’s worth. The further into a degree you are, the less one semester can move your CGPA, so early semesters matter as much as late ones. The calculator rounds the needed SGPA up to two decimals so you never fall just short.

The 10-point grading scale

Under UGC’s choice based credit system (CBCS), letter grades carry these grade points:

UGC lets universities set the marks for each grade, recommending only that B start no lower than 50% and B+ no lower than 55%, so the bands differ. The VTU column is one example. SGPA is the credit-weighted average of these grade points for one semester, which is the same arithmetic as CGPA. You can therefore enter each course as grade point, credits to get an SGPA.

CGPA to percentage

There is no national formula. VTU’s 2022 regulations and Anna University’s 2021 regulations both use percentage = CGPA × 10, so 8.18 is 81.8%. CBSE’s rule for its old Class 10 CGPA was × 9.5, which gives 77.71%, and some universities have used the same factor. The calculator shows both as quick references. For the rule your university publishes, including VTU’s older (CGPA − 0.75) × 10, use the CGPA to percentage calculator.

When your official CGPA is different

• Failed courses. Anna University counts only the courses you have cleared, so an arrear is left out of the CGPA until you pass it, and then the new grade counts. On the UGC scale an F carries 0 grade points.
• Rounded SGPAs. Grade cards round SGPA to two decimals, so recomputing from them can move the CGPA by 0.01.
• Courses that don’t count. UGC says non-credit courses graded Satisfactory or Unsatisfactory are not counted, and many universities also leave out audit or additional courses.

For a US-style 4-point scale, use the GPA calculator. If your mark sheet shows marks instead of grades, the marks percentage calculator adds them up, and the attendance calculator helps you stay eligible to sit the exams in the first place.