
normal
Corresponding to the usual standards, the norm, or expectations; ordinary, typical.
Es ist ganz normal, vor einer wichtigen Prüfung aufgeregt zu sein.
It's completely normal to be nervous before an important exam.
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Corresponding to the usual standards, the norm, or expectations; ordinary, typical.
Es ist ganz normal, vor einer wichtigen Prüfung aufgeregt zu sein.
It's completely normal to be nervous before an important exam.

really / totally
A colloquial intensifier meaning 'very' or 'totally'. Used especially in youth language.
Der Film gestern war normal langweilig.
The film yesterday was really boring.
'Normal' belongs to the word family around 'die Norm' (the norm). The adverb 'normalerweise' (normally) is very common and means 'as a rule' or 'usually'.
Normalerweise trinke ich morgens Kaffee, aber heute habe ich Tee getrunken.
Normally I drink coffee in the morning, but today I had tea.
The constructions 'Es ist normal, dass ...' (It is normal that ...) with a subordinate clause and 'Es ist normal, ... zu ...' (It is normal to ...) with an infinitive are very common. You can use them to express a general expectation or rule.
Es ist völlig normal, am Anfang ein paar Fehler zu machen.
It's completely normal to make a few mistakes at the beginning.
The meaning 'sehr' (very) or 'total' (totally) is purely colloquial and youth language. Avoid this use in formal or written contexts so that you don't sound inappropriate.
Die Party gestern war normal cool!
The party yesterday was totally cool!
You can recognize the colloquial meaning by the fact that 'normal' stands before another adjective or adverb and intensifies it. In its standard meaning, it would refer to a noun.
Ich bin heute normal müde, weil ich schlecht geschlafen habe.
I'm really tired today because I slept badly.
totally / total
Total and normal can both function as intensifiers meaning “very” in colloquial statements. Total is commonly used for this, whereas normal as an intensifier occurs especially in youth language and may sound unusual outside that style. Use normal only when the casual style fits.

Der neue Film ist normal spannend.
The new film is really exciting.
Der neue Film ist total spannend.
The new film is totally exciting.