What is the modified Bavarian formula?

It linearly maps a German grade to a percentage: x = 1 + 3 × (Nmax − Nd) / (Nmax − Nmin), where Nmax is the best passing grade, Nmin the lowest passing grade, and Nd your grade. The percentage then maps onto a 4.0 GPA scale.

Is 1.0 a good grade in Germany?

Yes. In the German system 1.0 is the highest possible grade (sehr gut, very good). Lower numbers are better, which is the opposite of most Anglo-American systems where higher is better.

What grade is a fail in Germany?

Grades from 4.1 to 5.0 are failing (nicht bestanden / nicht ausreichend). 4.0 (ausreichend) is the lowest passing grade. A 5.0 means the module was not passed.

How accurate is this conversion?

The modified Bavarian formula is the official method recommended by German academic bodies for converting between grading scales, but admissions offices may apply their own tables. Use this as a reliable estimate.

What is the ECTS grade equivalent?

ECTS grades (A–F) are based on the rank distribution within a cohort, so an exact mapping requires class statistics. This tool gives an approximate ECTS band from your numeric grade.

German Grade Converter (1.0–5.0 Scale)

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Convert German grades to US GPA, UK class, and ECTS

German universities grade on a 1.0 to 5.0 scale where lower is better: 1.0 is sehr gut (very good), 2.0 gut, 3.0 befriedigend, 4.0 ausreichend (the lowest pass), and anything above 4.0 up to 5.0 is nicht bestanden (fail). This is inverted relative to the US 4.0 GPA scale, so a direct numeric comparison is misleading. This tool applies the official modified Bavarian formula to translate your grade fairly.

How it works

The modified Bavarian formula maps your German grade onto a 0–100 percentage scale relative to the passing range:

x = 1 + 3 × (Nmax − Nd) / (Nmax − Nmin)

where Nmax is the best achievable grade (1.0), Nmin is the lowest passing grade (4.0), and Nd is your grade. The result x ranges from 1 (worst pass) to 4 (best). The tool then scales that into a US 4.0 GPA and assigns a UK degree class and ECTS band. For example, a German 2.0 with bounds 1.0–4.0 gives 1 + 3 × (1.0 − 2.0) / (1.0 − 4.0) = 1 + 3 × (−1)/(−3) = 2.0 on the intermediate scale, which corresponds to a strong upper-second / B+ range.

Tips and notes

Always use your final overall grade (Gesamtnote), not a single exam, for admissions comparisons.
The bounds default to 1.0 (best) and 4.0 (lowest pass), but some programs use 4.5 — adjust if your transcript says so.
ECTS letter grades officially depend on the percentile rank of your cohort; the band shown here is a numeric approximation only.
A German 1.0–1.5 is exceptional and typically maps to a US 3.8–4.0 GPA and a UK First.