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Negation is usually represented with the
sign but we will be using ~. Negation is only used on a single proposition and is the simple process of taking a process. So if A = True then ~A = False. The truth table is as follows:
As you can see negation is a fairly easy operation. Where this gets tricky is when they ask you for the negations of other equations. So the may ask for negation of A /\ B. So just write out your truth table for A /\ B and then add another column like this:
| A~A | |
|---|---|
| T | F |
| F | T |
| A | B | A /\ B | ~(A /\ B) |
|---|---|---|---|
| T | T | T | F |
| T | F | F | T |
| F | T | F | T |
| F | F | F | T |
