CGPA to SGPA Calculator

Why Convert CGPA to SGPA?

• Clarify Performance: Sometimes, you have your CGPA but want to know how you performed in individual semesters.
• Admission & Job Applications: Certain applications may require semester-wise details (SGPA) rather than the overall CGPA.
• Academic Records: Universities may ask for SGPA for re-evaluation or specific semester assessments.
• Self-Assessment: Helps in identifying strong and weak semesters to improve future performance.

How to Calculate SGPA from CGPA (with Formulas and Examples)

Understanding the Relationship

Generally,

CGPA=Sum of all SGPAs×corresponding credit hoursTotal credit hours\text{CGPA} = \frac{\text{Sum of all SGPAs} \times \text{corresponding credit hours}}{\text{Total credit hours}}CGPA=Total credit hoursSum of all SGPAs×corresponding credit hours​

If you know your CGPA and the SGPAs for previous semesters along with their credit hours, you can find the SGPA of a particular semester by rearranging the formula.

Formula to Calculate SGPA from CGPA

Suppose:

• Total semesters completed = nnn
• CGPA after nnn semesters = CGPAnCGPA_nCGPAn​
• Total credit hours after nnn semesters = CnC_nCn​
• Total credit hours before the nthn^{th}nth semester = Cn−1C_{n-1}Cn−1​
• CGPA after (n−1)(n-1)(n−1) semesters = CGPAn−1CGPA_{n-1}CGPAn−1​
• SGPA of the nthn^{th}nth semester = SGPAnSGPA_nSGPAn​ (what you want to find)

Then,

SGPAn=(CGPAn×Cn)−(CGPAn−1×Cn−1)Cn−Cn−1SGPA_n = \frac{(CGPA_n \times C_n) – (CGPA_{n-1} \times C_{n-1})}{C_n – C_{n-1}}SGPAn​=Cn​−Cn−1​(CGPAn​×Cn​)−(CGPAn−1​×Cn−1​)​

Example:

• CGPA after 4 semesters (CGPA4CGPA_4CGPA4​) = 8.0
• Total credits after 4 semesters (C4C_4C4​) = 120
• CGPA after 3 semesters (CGPA3CGPA_3CGPA3​) = 7.8
• Total credits after 3 semesters (C3C_3C3​) = 90

Calculate SGPA for the 4th semester:

SGPA4=(8.0×120)−(7.8×90)120−90=960−70230=25830=8.6SGPA_4 = \frac{(8.0 \times 120) – (7.8 \times 90)}{120 – 90} = \frac{960 – 702}{30} = \frac{258}{30} = 8.6SGPA4​=120−90(8.0×120)−(7.8×90)​=30960−702​=30258​=8.6

So, your SGPA for the 4th semester is 8.6.

Using the CGPA to SGPA Calculator Tool

• What is it? A CGPA to SGPA calculator is an online tool that automates the conversion process, saving time and effort.
• How to use:
  1. Enter your current CGPA.
  2. Provide the number of semesters completed.
  3. Input previous semester credit hours and CGPAs if available.
  4. Click ‘Calculate’ to get the SGPA for the desired semester.
• Benefits:

• Quick and accurate calculations.
• Reduces manual errors.
• Easy for students unfamiliar with formulas.

Understanding the Calculation of CGPA and SGPA

How is SGPA calculated?

• SGPA is calculated by taking the sum of the product of the grade points and credit hours of each subject, then dividing by the total credit hours for that semester.

SGPA=∑(Grade Points×Credit Hours)Total Credit Hours in semesterSGPA = \frac{\sum (\text{Grade Points} \times \text{Credit Hours})}{\text{Total Credit Hours in semester}}SGPA=Total Credit Hours in semester∑(Grade Points×Credit Hours)​

How is CGPA calculated?

• CGPA is the weighted average of all SGPAs based on credit hours across all semesters.

CGPA=∑(SGPA of each semester×credit hours in semester)Total credit hours of all semestersCGPA = \frac{\sum (\text{SGPA of each semester} \times \text{credit hours in semester})}{\text{Total credit hours of all semesters}}CGPA=Total credit hours of all semesters∑(SGPA of each semester×credit hours in semester)​

Converting Between CGPA, SGPA, and Percentage

Many institutions convert CGPA or SGPA into percentage marks using a standard formula.

Common formula:

Percentage=CGPA×9.5\text{Percentage} = CGPA \times 9.5Percentage=CGPA×9.5

or

Percentage=SGPA×9.5\text{Percentage} = SGPA \times 9.5Percentage=SGPA×9.5

Example:

If your CGPA is 8.2, your approximate percentage is:

8.2×9.5=77.9%8.2 \times 9.5 = 77.9\%8.2×9.5=77.9%

Note: This multiplier (9.5) may vary depending on the university or education board.