GATE Marks Calculator
Estimate GATE marks from your response sheet, convert to a score out of 1000 with the official formula, and see a rank band. Free, no signup.
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Figuring out your CGPA from SGPA gets messy once you have scores from several semesters. Enter your semester SGPAs below — with credits if you know them — and get your overall CGPA in seconds.
Add up to 10 semesters · credits optional
Tip: leave every Credits field blank for a quick simple average, or fill them all in for the exact credit-weighted result your university uses.
SGPA stands for Semester Grade Point Average. It sums up how you did in one single semester, usually on a 10-point scale. Your college works it out from the grades and credits of the subjects you took that term. A higher SGPA simply means a stronger semester.
CGPA stands for Cumulative Grade Point Average. It zooms out and covers your whole degree so far. Say your SGPAs came in as 8.0, then 7.5, then 8.2, then 8.6. Each of those is one semester’s story; your CGPA blends them into a single number using your university’s method.
The two are related the way chapters relate to a book. SGPA tells you how one chapter went. CGPA tells you how the book reads overall — which is why placements, scholarships, and admissions offices almost always ask for the CGPA.
Whether you use the online SGPA to CGPA calculator above or do it by hand, the process is the same. Here’s the exact sequence:
There are two versions in common use. Pick the one your university follows:
Let’s take a student with four semesters done. Here are the marks straight off the grade cards:
| Semester | SGPA | Credits | SGPA × Credits |
|---|---|---|---|
| Semester 1 | 8.2 | 20 | 164.0 |
| Semester 2 | 7.8 | 22 | 171.6 |
| Semester 3 | 8.5 | 20 | 170.0 |
| Semester 4 | 8.0 | 24 | 192.0 |
| Total | 32.5 | 86 | 697.6 |
Credit-weighted: 697.6 ÷ 86 = 8.11 CGPA.
Simple average, for comparison: (8.2 + 7.8 + 8.5 + 8.0) ÷ 4 = 32.5 ÷ 4 =8.13 CGPA. Close — but not identical. That small gap is exactly why credit-heavy semesters deserve their proper weight.
Short answer: not exactly. One CGPA can arise from countless SGPA combinations, so there is no unique reverse conversion — a “CGPA to SGPA calculator” can only estimate.
The one exception: if you know everything except a single semester. Under a simple-average system, rearrange the formula:
Example: CGPA 8.0 after 4 semesters, with known SGPAs of 7.8, 8.2, and 8.0 gives (8.0 × 4) − 24.0 = 8.0 for the missing term. Under credit weighting you need that semester’s credits too — same idea, slightly longer arithmetic.
Job forms and scholarship portals usually want a percentage, not a CGPA. The most widely quoted shortcut in India is the CBSE-style estimate:
Using our worked example: 8.11 × 9.5 = 77.05%. Handy — but treat it as an estimate unless your university prints the same formula. VTU, Mumbai University, and Anna University each publish their own (see the university table below), and those official versions always win.
Students mix these up constantly, so here’s the SGPA vs CGPA split in one glance:
| Aspect | SGPA | CGPA |
|---|---|---|
| Full form | Semester Grade Point Average | Cumulative Grade Point Average |
| Scope | One single semester | Your whole degree so far |
| Purpose | Shows how one term went | Shows your overall standing |
| How it changes | Can swing a lot between semesters | Moves slowly as semesters pile up |
| Used for | Semester review, backlogs, course correction | Placements, higher studies, scholarships |
Put simply: SGPA = how one semester went. CGPA = how your degree is going.
This is where most students go wrong: they borrow a friend’s formula from another university. The table below covers the methods most commonly published — but regulations change by batch, so treat your handbook as the final authority:
| University | Usual CGPA method | Percentage formula often used |
|---|---|---|
| VTU | Credit-weighted across semesters | (CGPA − 0.75) × 10 (older schemes; newer batches may differ) |
| Mumbai University | Credit-weighted, 10-point CBCS | 7.1 × CGPA + 11 |
| Anna University | Credit-weighted | CGPA × 10 |
| CBSE-pattern / DU colleges | Follows board practice | CGPA × 9.5 |
FAQ
Yes. If you have the SGPA of every completed semester and you know your university’s method, you can work out your overall CGPA. Enter the SGPAs above (credits too, if your university weights by credits) and the calculator does the rest.
Under a simple-average system, add all your semester SGPAs and divide by the number of semesters. Under a credit-weighted system, multiply each SGPA by its semester credits, add those up, and divide by total credits. The calculator above handles both.
Only when every semester carries equal weight. Many Indian universities (VTU, Mumbai University, Anna University) weight semesters by credits instead, so a flat average can be slightly off. When in doubt, use the weighted method.
Yes — leave the Credits fields blank and you’ll get the simple average, which is a solid estimate. For the exact figure your university will print, grab the credit totals from your grade cards and enter those too.
No. SGPA describes one semester; CGPA describes your cumulative record across semesters. Think of SGPA as the chapter score and CGPA as the book’s rating so far.
Neither, necessarily — they measure different things. A great semester gives you a high SGPA, but your CGPA only climbs gradually because it averages your whole history, including weaker semesters.
With a single finished semester, that SGPA is effectively your CGPA so far (there’s nothing else to average yet). From semester two onward, you need every previous SGPA for a correct result.
Not exactly — one CGPA can come from many different SGPA combinations, so the reverse isn’t unique. But if you know your CGPA, the number of semesters, and all the other SGPAs, you can solve for the missing one (explained above).
It depends on your university. CBSE-pattern institutions commonly use Percentage = CGPA × 9.5, Anna University uses CGPA × 10, VTU uses (CGPA − 0.75) × 10, and Mumbai University uses 7.1 × CGPA + 11. Never assume — check your handbook.
Completely. No signup, no limits, no watermark. It runs entirely in your browser, so your marks never leave your device.
This calculator uses the two standard methods universities publish — simple average and credit-weighted — and shows you exactly which one produced your result. Methods still vary by institution and batch, so confirm against your official grade card for anything formal. And because every calculation happens right in your browser, your marks are never uploaded, stored, or tracked. What you type stays yours.
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