Do you have the right to be an atheist?

[ErGingerbreadMandude]

But when i am coding i can arrive at the result using my logic and another person can arrive at the same result using their logic.

Coding is not the same as formal logic, as applied to arguments and existentialist claims. 

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But Theism is like a huge building built up without the base.
Why is it wrong for me to consider it as non-existent?

Because if is provable that theism does exist.

Do you know the definition of 'theism'?

Here it is: belief in the existence of a god or gods, especially belief in one god as creator of the universe, intervening in it and sustaining a personal relation to his creatures

Are there not people that believe in the existence of a god or gods, especially belief in one god as creator of the universe, intervening in it and sustaining a personal relation to his creatures?

That definition of theism only covers the characteristics of a non-religious god because theism itself is not religion.This definition falls apart because it cannot define all the religious gods.And religion is a subset of theism.