About German Grade Calculator (Modified Bavarian Formula)
This German grade calculator converts a CGPA or any grade to the German 1.0 to 4.0 scale with the modified Bavarian formula that German universities use for foreign grades. It is free, needs no sign-up and runs in your browser, so nothing you enter is uploaded.
You enter your grade, the best possible grade and the lowest passing grade. The formula is 1 + 3 x (best - grade) / (best - lowest pass). It gives 1.0 for the best grade and 4.0 for the lowest pass, and a grade below the pass mark is a fail, shown as 5.0.
Universities round the result differently, so the calculator has three modes: cut after one decimal (the default, common in German exam rules), round half up to one decimal, or snap to the nearest German step (1.0, 1.3, 1.7, 2.0 and so on, ties to the higher number). The receiving university or the credential office decides the rule and the best and lowest-pass values, so check theirs.
How to use German Grade Calculator (Modified Bavarian Formula)
- Choose your grading scale from the list. The table of letters and points for that scale is used for every course row. Pick Custom scale if your university uses its own table.
- Enter each course with its credit hours and grade. Choose a letter from the list, or pick Type point to enter a grade point yourself.
- Add or remove rows until the list matches your semester. Credits can be decimals such as 1.5.
- To get a cumulative result, switch on Add previous CGPA and enter your CGPA so far and the credits it covers. The new CGPA weights both by credit.
- Read the term GPA, the cumulative CGPA, the degree class where the scale has one, and the percentage, German grade and US 4.0 estimate.
- Use the target planner to enter the CGPA you want and the credits you have left. It shows the average you need.
Features
- Credit-weighted CGPA that updates on every keystroke, with no submit button.
- Nine scale options: Bangladesh UGC 4.00, a common private-university scale, US 4.0, US 4.3, India 10-point, ECTS, UK percentage, Bangladesh SSC/HSC 5.00 and a custom scale.
- A custom scale editor for the letters, points, top grade and lowest pass of your own university.
- Previous CGPA and completed credits, so a new semester updates your cumulative result.
- Degree class where the scale defines one, such as First, Second and Third class on the UGC scale, Latin honors on US 4.0, or UK honours bands.
- CGPA to percentage with the formula that fits the scale: grade band, linear, CBSE 9.5, times 10, or your own multiplier.
- Percentage to CGPA, the reverse conversion, with the same formula choices.
- German grade by the modified Bavarian formula, with three rounding modes: cut after one decimal, round to one decimal, or nearest German grade step.
- A US 4.0 estimate for scales that are not already 4.0, and a target CGPA planner.
The modified Bavarian formula
Nmax is the best grade, Nmin the lowest passing grade and Nd your grade. A result above 4.0 means the grade is below the pass mark.
German grade = 1 + 3 × (Nmax − Nd) ÷ (Nmax − Nmin)Worked examples
Grade 8 on a 10-point scale, lowest pass 5 gives 2.20 exact (cut 2.2, round 2.2, nearest step 2.3)
Bangladesh UGC CGPA 3.50, best 4.00, lowest pass 2.00 gives 1.75 exact (cut 1.7, round 1.8, nearest step 1.7)
This is where the rounding rule matters: 1.75 becomes 1.7 or 1.8.
India CGPA 8.0, best 10, lowest pass 4 gives 2.00 exact (cut 2.0, round 2.0, nearest step 2.0)
Privacy: how it works
- Courses, credits and grades are handled by code running in your browser tab. Nothing is sent to Ulkaa or anyone else, and nothing is saved: closing the tab clears what you typed.
Tips
- Use the credit hours from your transcript, not the number of courses. A 1-credit lab counts a third as much as a 3-credit lecture.
- To enter a whole semester you only know as a GPA, add one row with that semester credits and choose Type point for its grade point.
- For a conversion to percentage, check which formula your university or the receiving organisation accepts before you quote the number.
Frequently asked questions
Is it really free?
Yes. There is no price, no trial and no credit card. Ulkaa Tool does the work with your own device, so there is no server bill to pass on to you.
Do I need an account?
No. There is no sign-up and no login. Open the page and use it. An Ulkaa account is not needed for anything on this tool.
Does it run in my browser?
Yes. Your grades are processed by code running in your browser tab, on your own device.
Is my data uploaded?
No. Your grades are never sent to Ulkaa or to anyone else. You can check this yourself by watching the Network tab in your browser developer tools while you use the tool.
What is the modified Bavarian formula?
It is the formula 1 + 3 x (best grade - your grade) / (best grade - lowest passing grade), used by many German universities to convert foreign grades to the German scale.
Which rounding should I choose?
The one your target university states. The default cuts after one decimal, round half up is a second common rule, and nearest step snaps to a real German grade.
Is 4.0 a pass in Germany?
Yes. 1.0 is the best grade, 4.0 is the lowest passing grade and anything worse is 5.0, a fail.
More CGPA Calculator pages
- CGPA CalculatorCredit-weighted CGPA for Bangladesh, US, India, UK and ECTS grading, with percentage and target tools.
- CGPA Calculator for Bangladesh (UGC Scale)Credit-weighted CGPA on the UGC 4.00 scale, from your semester results.
- Public University CGPA Calculator (Bangladesh)Check a public university CGPA from your course credits and grades.
- Private University CGPA Calculator (Bangladesh)A common private-university 4.00 scale, plus a custom scale for your own table.
- National University CGPA Calculator (NU Bangladesh)Check an NU CGPA against the UGC 4.00 grade table.
- BRAC University CGPA CalculatorAn approximate CGPA for BRAC University courses. Check BRAC grade bands.
- NSU CGPA Calculator (North South University)An approximate CGPA on an NSU-style 4.00 scale.
- US 4.0 Scale CGPA CalculatorCumulative GPA on the US 4.0 scale, weighted by credit hours.
- US 4.3 Scale GPA CalculatorGPA on a 4.3 scale where an A+ is worth more than an A.
- CGPA Calculator for India (10-Point Scale)Credit-weighted CGPA on the 10-point CBCS scale, with percentage conversion.
- ECTS Grade to GPA Calculator (Estimate)Estimate a GPA from ECTS letters. The result is approximate by nature.
- CGPA to Percentage CalculatorTurn a CGPA into an approximate percentage with the formula your university uses.
- Percentage to CGPA CalculatorTurn a percentage or mark into an approximate CGPA on the scale you choose.