Despite being hungry, I didn't eat.

He was hungry. I didn't eat.

I have joined the sentence as follows. Is it correct?

Despite being hungry, I didn't eat.

I think it's wrong.because in your first two phrases you have two different pronoun but in your last sentence you have only one pronoun.

tamguatlayDespite being hungry, I didn't eat.

This sentence means: I was hungry. I didn't eat.

I knew "despite being hungry" mean "despite I was hungry" but I don't know why.how be(ing) imply something in past.
Would you explain this for me, please?

Being- is being used as a present participle here. " Despite being hungry" is a subordinate (dependent clause). All present participle are non-finite, meaning not restricted by time. Someone may be being hungry, stupid, careless, rude, nice, by his action. e.g. if Johnny is pulling her sister's hair making her cry, we can say " Johnny is being rude to her sister". Despite being hungry -

Thank you.