Mathematics CalcyZone Calculator

SGPA to CGPA Calculator

Combine semester SGPAs into a cumulative CGPA, weighted by credits if you have them.

CGPA

8.15

Semesters counted

Step-by-step working

(8.2 + 7.9 + 8.5 + 8) / 4 = 8.15

Mathematical Formula

CGPA = Σ (Cᵢ × SGPAᵢ) / Σ Cᵢ, where Cᵢ is the total credits of semester i (UGC CBCS guidelines). Without credits, CGPA = mean of SGPAs.

Overview & Explanation

Under the UGC Choice Based Credit System, CGPA is the credit-weighted average of semester SGPAs.

How It Works

Multiply each SGPA by that semester’s credits.
Add the products.
Divide by the total credits.

Practical Applications

Tracking cumulative performance.
Predicting final CGPA.

SGPA and CGPA

SGPA (Semester Grade Point Average) summarises one semester; CGPA (Cumulative Grade Point Average) summarises all semesters so far. The correct way to combine them is a credit-weighted average: CGPA = Σ(SGPA × credits of that semester) ÷ Σ credits.

Example: semester 1 has an SGPA of 8.2 over 22 credits and semester 2 has 7.6 over 24 credits. CGPA = (8.2 × 22 + 7.6 × 24) ÷ (22 + 24) = (180.4 + 182.4) ÷ 46 ≈ 7.89.

Simple average versus weighted average

If every semester carries the same credits, the simple average of SGPAs gives the same answer. When credits differ, the simple average can be noticeably off: averaging 8.2 and 7.6 gives 7.90 instead of 7.89 here, and the gap widens when one semester has far more credits.

Some universities compute CGPA directly from every course's grade points and credits rather than from SGPAs; the result is the same if the SGPAs were calculated correctly.

Converting to percentage

Universities publish their own CGPA-to-percentage rules, for example multiplying by a fixed factor or using a formula such as (CGPA − 0.5) × 10. Use the formula on your university's grade card or ordinance, because employers and admission offices expect that official conversion.