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how to calculate cgpa from sgpa

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Calculating CGPA (Cumulative Grade Point Average) from SGPA (Semester Grade Point Average) is straightforward. Here’s how to do it:

Step-by-Step Guide​

  1. Understand SGPA and CGPA:
    • SGPA is the average grade points earned in a semester.
    • CGPA is the overall average across all semesters.
  2. Collect Your SGPAs:
    • Gather the SGPA for each semester. For example:
      • Semester 1: SGPA1
      • Semester 2: SGPA2
      • Semester 3: SGPA3
      • Semester 4: SGPA4
  3. Know the Credit Hours:
    • Identify the total credit hours for each semester. For instance:
      • Semester 1: Credits1
      • Semester 2: Credits2
      • Semester 3: Credits3
      • Semester 4: Credits4
  4. Calculate Total Grade Points:
    • For each semester, multiply SGPA by the corresponding credit hours:Total Grade Points=(SGPA1×Credits1)+(SGPA2×Credits2)+…\text{Total Grade Points} = (\text{SGPA1} \times \text{Credits1}) + (\text{SGPA2} \times \text{Credits2}) + \ldotsTotal Grade Points=(SGPA1×Credits1)+(SGPA2×Credits2)+…
  5. Calculate Total Credits:
    • Add up all the credit hours:Total Credits=Credits1+Credits2+…\text{Total Credits} = \text{Credits1} + \text{Credits2} + \ldotsTotal Credits=Credits1+Credits2+…
  6. Calculate CGPA:
    • Use the formula:CGPA=Total Grade PointsTotal Credits\text{CGPA} = \frac{\text{Total Grade Points}}{\text{Total Credits}}CGPA=Total CreditsTotal Grade Points

Example​

  • SGPA: 8.0 (4 credits), 7.5 (4 credits), 9.0 (4 credits)
  • Total Grade Points:(8.0×4)+(7.5×4)+(9.0×4)=32+30+36=98(8.0 \times 4) + (7.5 \times 4) + (9.0 \times 4) = 32 + 30 + 36 = 98(8.0×4)+(7.5×4)+(9.0×4)=32+30+36=98
  • Total Credits: 4+4+4=124 + 4 + 4 = 124+4+4=12
  • CGPA:CGPA=9812≈8.17\text{CGPA} = \frac{98}{12} \approx 8.17CGPA=1298≈8.17
This approach gives you the CGPA based on your SGPA and credit hours.