One asked whether you had completed a task e.g. shopping, dinner.

  What should be your answer  ?

I am done.

or

I have done.

To me, the former sentence's formation  , Sub + VBe+ Past Participle  , falls to passive voice. Therefore, it has totally different meaning from I have done Sub + Predicate (verb intransitive  ).

Addendum  :

According to Cambridge Advanced Learner's Dictionary 3rd Ed. The verb Do is an intreansitive verb in the meaning of complete/finish.

In the sentence  , same formation as I am done:

I am beautiful.

The verb am ( of VBe  ) link the adj beautiful to the subject of the sentence I. Therefore I , the subject of the sentence  , is beautiful ( another word Sate of Being ).

Then in the senetnce :

I am done.

The subject  , I , is linked to Adj Done. So the subject's state of being is Done , antoher word Dead ?

When someone asks whether you have completed a task e.g. shopping, dinner. What should be your answer?

I am done.

or

I have done.

To me, the former sentence's formation, Sub + VBe+ Past Participle, falls to passive voice. Therefore, it has a totally different meaning from I have done Sub + Predicate (verb intransitive).

Addendum:

According to Cambridge Advanced Learner's Dictionary 3rd ed., the verb do is an intransitive verb in the meaning of complete/finish.

In the sentence, same formation as I am done:

I am beautiful.

The verb am (of VBe) links the adj beautiful to the subject of the sentence I. Therefore I, the subject of the sentence, is beautiful (in other words, state of being).

Then in the sentence :

I am done.

The subject, I, is linked to the adjective done. So the subject's state of being is done, in other words dead?

One asked whether you had completed a task e.g. shopping, dinner.

What should be your answer ?

I am done.

or

I have done.

To me, the former sentence's formation , Sub + VBe+ Past Participle , falls to passive voice. Therefore, it has totally different meaning from I have done Sub + Predicate (verb intransitive ).

Addendum :

According to Cambridge Advanced Learner's Dictionary 3rd Ed. The verb Do is an intreansitive verb in the meaning of complete/finish.

One asked whether you had completed a task e.g. shopping, dinner.

What should be your answer ?

I am done.

or

I have done.

To me, the former sentence's formation , Sub + VBe+ Past Participle , falls to passive voice. Therefore, it has totally different meaning from I have done Sub + Predicate (verb intransitive ).

Addendum :

According to Cambridge Advanced Learner's Dictionary 3rd Ed. The verb Do is an intreansitive verb in the meaning of complete/finish.

In the sentence , same formation as I am done:

I am beautiful.

The verb am ( of VBe ) link the adj beautiful to the subject of the sentence I. Therefore I , the subject of the sentence , is beautiful ( another word Sate of Being ).

Then in the senetnce :

I am done.

The subject , I , is linked to Adj Done. So the subject's state of being is Done , antoher word Dead ?