# حاسبة SGPA إلى CGPA > حوّل معدلات SGPA الفصلية إلى معدل تراكمي CGPA على المقياس الهندي من 10 نقاط، مع نسبة مئوية استرشادية (CBSE ×9.5، Anna، VTU). - **Category:** التعليم والدرجات - **Interactive calculator:** https://youcalc.com/ar/education-grades/sgpa-to-cgpa/ - **Price:** Free, no sign-up required ## Overview This calculator rolls your per-semester SGPAs (Semester Grade Point Averages) into a single CGPA (Cumulative Grade Point Average) on the Indian 10-point scale. Enter each semester’s SGPA and the credits you earned that semester; the result is the credit-weighted average of those SGPAs — the standard followed by AICTE/UGC credit programmes — plus an indicative percentage. It is built for Indian engineering, science and degree students who get an SGPA on every semester grade card and need the cumulative figure. ## How to read your result The headline number is your CGPA out of 10. Below it, the percentage converts that CGPA using the formula you chose, and the total credits and semester count are shown alongside. A note tells you whether your semesters carry equal credits: if they do, the credit-weighted and simple averages are identical; if not, it shows what a naive simple average would have been and reminds you that the credit-weighted figure is the correct CGPA. The bar chart shows the weighted points each semester contributed — a semester’s bar is its SGPA multiplied by its credits, so a strong semester with more credits moves your CGPA more. ## Method Each semester contributes weighted points equal to its SGPA multiplied by its credits. The credit-weighted CGPA is the sum of weighted points divided by the sum of credits: CGPA = Σ(SGPA × credits) ÷ Σcredits. The simple average is Σ(SGPA) ÷ number of semesters and is computed for comparison. The indicative percentage applies the chosen rule to the headline CGPA: 9.5 × CGPA (CBSE), CGPA × 10 (Anna), or (CGPA − 0.75) × 10 (VTU 2018). Inputs are validated: each SGPA must be within [0, 10] and each credit value must be greater than 0. ## Example - **Setup:** Three semesters: SGPA 8.0 over 20 credits, 8.5 over 22 credits and 9.0 over 24 credits, using the CBSE percentage rule. - **Result:** Weighted points = 8.0×20 + 8.5×22 + 9.0×24 = 563 across 66 credits, so CGPA = 563 ÷ 66 = 8.53. The indicative percentage = 9.5 × 8.53 = 81.0%. A plain average of the three SGPAs would be 8.50 — close, but the credit-weighted 8.53 is the correct cumulative figure. ## Frequently asked questions ### How is CGPA calculated from SGPA? The cumulative CGPA is the credit-weighted mean of your semester SGPAs: CGPA = Σ(SGPA × semester credits) ÷ Σ(credits). Each semester is weighted by the number of credits it carried, so a heavier semester influences the CGPA more. This is the AICTE/UGC-aligned standard used by credit-based (CBCS) programmes. ### Can I just average my SGPAs instead? A simple average of your SGPAs equals the credit-weighted CGPA only when every semester carries exactly the same number of credits. When semester credit loads differ, the simple average drifts from the true CGPA, so the credit-weighted figure is the one to report. This calculator shows both so you can see the difference. ### How is the percentage worked out, and is it official? Percentage from CGPA is indicative, not an exact mark. The CBSE rule (Percentage = 9.5 × CGPA, from CBSE Circular 24/2010) is the only officially published multiplier and is the general default. Anna University uses Percentage = CGPA × 10; VTU’s 2015/2017/2018 schemes use (CGPA − 0.75) × 10. These are calibrated to each institution and must not be cross-applied — pick the rule your university uses. ### Which scale does this use? It assumes the UGC/AICTE 10-point scale (SGPA from 0 to 10). It is not for institutions on a 4-point GPA or percentage-only marking. Each SGPA you enter must be between 0 and 10, and each credit value must be greater than 0. ### Why is my CGPA shown to two decimals? Most Indian universities report CGPA to two decimal places. Some truncate rather than round at the second decimal; if you are matching an exact transcript figure, check your institution’s rounding rule, because a truncated CGPA can differ from a rounded one in the last digit. ## Related calculators - [محوّل المعدل التراكمي إلى نسبة مئوية](https://youcalc.com/ar/education-grades/cgpa-to-percentage/) - [حاسبة المواد إلى المعدل التراكمي CGPA](https://youcalc.com/ar/education-grades/subject-grades-to-cgpa/) - [حاسبة المعدل التراكمي](https://youcalc.com/ar/education-grades/cumulative-gpa-calculator/) - [محوّل النسبة المئوية إلى المعدل التراكمي](https://youcalc.com/ar/education-grades/percentage-to-cgpa/) ## Sources - https://www.cbse.gov.in/circulars/cir24-2010.pdf - https://acoe.annauniv.edu/download_forms/student_forms/CGPA_TO_PERCENTAGE_CONVERSION.pdf - https://vtu.ac.in/en/cgpa-standard-formula/ - https://en.wikipedia.org/wiki/Academic_grading_in_India --- Interactive version: https://youcalc.com/ar/education-grades/sgpa-to-cgpa/ · From YouCalc — https://youcalc.com