I am asked to name the 4 axioms of boolean algebra. And now i am confused because as far as i understand, axioms are basic statements or rules that are always true, and are used to build an understanding of a topic.
Here are the axioms that i know.
So do you guys know what my teacher is talking about when he means the 4 axioms of Boolean algebra? I hope i have not misunderstood this concept, if i have please correct me.
Also i understand duality is something that can only be used on axioms. << Is this correct?
Let me rephrase this so it's more clear.
Axioms
1. Axioms are basic rules or statements that are true because they just are or because they self prove them selves. 2. Axioms can only be proved after you have a basic understanding of a topic. 3 Axioms gives the same result no matter what you insert in variables
Duality
1. Duality can only be used on axioms because axioms always give the same result no matter what. 2 Duality is about converting something from positive to negative logic, or vise-versa. 3 XAND and NOR are dual of each other because when an output would be 1 of one of them, it would be 0 on the other.
Please tell me if there is something that i am missing or what i have misunderstood. Also another question is there a reason why u would convert something to other logic type using duality?
Here are the axioms that i know.
So do you guys know what my teacher is talking about when he means the 4 axioms of Boolean algebra? I hope i have not misunderstood this concept, if i have please correct me.
Also i understand duality is something that can only be used on axioms. << Is this correct?
Let me rephrase this so it's more clear.
Axioms
1. Axioms are basic rules or statements that are true because they just are or because they self prove them selves. 2. Axioms can only be proved after you have a basic understanding of a topic. 3 Axioms gives the same result no matter what you insert in variables
Duality
1. Duality can only be used on axioms because axioms always give the same result no matter what. 2 Duality is about converting something from positive to negative logic, or vise-versa. 3 XAND and NOR are dual of each other because when an output would be 1 of one of them, it would be 0 on the other.
Please tell me if there is something that i am missing or what i have misunderstood. Also another question is there a reason why u would convert something to other logic type using duality?