Disjunct normal form (DNF) may sound like a big and scary term, but it's actually quite simple!
Imagine you have a bunch of different statements that you want to combine into one big statement. For example, you might have the statements "I like cake" and "I like ice cream." You could combine these statements using the word "and" to create the statement, "I like cake and I like ice cream."
Disjunct normal form works in a similar way, but uses the word "or" instead of "and". So if you had the statements "Today is sunny" and "Today is warm", you could combine them using "or" to create the statement, "Today is sunny or today is warm."
Now, let's say you have even more statements, like "I like cake", "I like ice cream", "I don't like vegetables", and "I love pizza." You can use disjunct normal form to combine all these statements into one big statement.
To do this, you first write out each statement separated by "or". So your list would look like this:
- I like cake or
- I like ice cream or
- I don't like vegetables or
- I love pizza.
This is called the disjunction.
Next, you combine each set of statements using "and" until you have one big statement. Here's how it would look with our example:
(I like cake or I like ice cream) and (I don't like vegetables) and (I love pizza)
This longer statement is now in disjunct normal form! It's a way of combining many different statements into one big, more complex statement.