Number Base Converter
Converts numbers between binary, octal, decimal, hexadecimal and any base from 2 to 36, in…
Converts a grade between 12 national systems using the modified Bavarian formula, and says which conversions are actually defined and which are convention.
Converts between twelve national grading systems and labels every answer as defined arithmetic or as convention, because only one of the two is real.
| The one defined conversion | The modified Bavarian formula, used by German universities |
|---|---|
| It pins both ends | Best grade → 1.0 German; pass mark → 4.0 German, always |
| UK 70 | German 2.5 — the bottom of a First |
| ECTS letters | Removed from the 2009 Users' Guide; not a conversion table |
| Germany and Switzerland | Both 1–6, both pass at 4, opposite directions |
| Systems covered | 12 |
| Privacy | The arithmetic runs in your browser. Nothing you type is sent anywhere |
This tool uses the modified Bavarian formula, German grade = 1 + 3 × (best − yours) ÷ (best − pass). It is the method German universities use to place a foreign grade on their own 1–6 scale, and it pins both ends by construction: the best attainable grade always gives exactly 1.0 and the minimum pass exactly 4.0. Every intermediate value is shown on screen, so the result can be checked by hand.
It converts a single grade, not a transcript. Weighting by credits, handling distinctions that are not numbers (Italian 30 e lode, Spanish matrícula de honor), and cohort position are all outside what a formula can do. It also cannot know your institution's own pass mark where that differs from the national one.
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