Questions & Answers about Jeg er ikke træt nok til at gå i seng endnu.
Both are possible, but they mean different things.
- Jeg er ikke træt nok = I am not tired enough
- Jeg er nok ikke træt = I am probably not tired
So nok has two different uses in Danish:
enough
- after an adjective: træt nok = tired enough
probably / presumably
- often earlier in the sentence: jeg er nok... = I am probably...
In your sentence, nok clearly means enough, so it stays with træt.
Because in Danish, ikke usually comes before the word or phrase it negates.
Here it negates the idea of being træt nok:
- Jeg er ikke træt nok = I am not tired enough
This is very similar to English structure.
Compare:
- Jeg er træt = I am tired
- Jeg er ikke træt = I am not tired
Then nok is added to the adjective phrase:
- Jeg er ikke træt nok = I am not tired enough