How to convert grades into academic grading system of Germany?

Academic grading system of Germany is different from other countries. German schools, colleges and universities except law colleges grade their students according to 1 to 6 points. In this grading system 1 is the highest and 6 is the lowest grade.

Some German Universities grade their students 1 to 5 in which 1 is highest and 5 is the lowest grade. Here is the detail and comparison of German grading system with international grading system.

German Grading System                                                                International Grading System

1-1.5 (Sehr Gut/Excellent)                                                                                       A

1.6-2.3 (Gut/Very Good, with few errors)                                                             B

2.4-2.9 (Befriedigend/Good, with some errors)                                                  C

3.0-3.5 (Ausreichend/Satisfactory with many errors)                                        D

3.6-4.0 (Sufficinet/This is the minimum grade to pass)                                     E

4.0-5.0 (Not Satisfactory/Fail the exam)                                                               F

In 1-6 grading system students need minimum 5 grades to pass and 6 is the fail. You can compare your marks with German grading system according to your grades with this formula.

GR_TUM = 3 * [(GRmax – GRd) / (GRmax – GRmin)] + 1 

GRmax => Highest possible grade in the non-German grading system, please expressed in numbers.
GRd => Grade earned in the non-German grading system.
GRmin => Lowest possible passing grade in the non-German grading system.

Example:

GRmax = 4 GPA

GRd = 3.03 GPA

GRmin = 1.75

=> GR_TUM = 3 * [(4 – 3.03) / (4 – 1.75)] + 1 = 2.29 (2.29 is your German Grade)