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# 4 Variable Truth Table

TopA truth table is used to find the relation with Boolean Algebra, Boolean function and propositional Calculus. There are some types of logic operation which are given below.
1. AND operator - It is also known as conjunction operator.
The ‘AND’ operator is denoted by the symbol ‘∧’.
2. OR operator – It is also known as disjunction operator.
The ‘OR’ operator is denoted by the symbol ‘v’.
3. Negation of OR operation – It is also known as NOT operator.
The ‘Negation of OR operator’ is denoted by the symbol ‘~’.
Now we will see the truth table of all the operators:
Truth table for AND operator is:
 A B A ^ B T T T T F F F T F F F F

Truth table for OR operator is:
 A B A v B T T T T F T F T T F F F

Here also we apply same procedure as above.
Now we will see the truth table for negation operator:
 A ~ A T F F T

Now we will see 4 variable truth table:
For example: Suppose we have an expression (P v Q) v (R v S)
 P Q R S (P v Q) v (R v S) T T T T T T T T F T T T F T T T T F F T T F T T T T F T F T T F F T T T F F F T F T T T T F T T F T F T F T T F T F F T F F T T T F F T F T F F F T T F F F F F
For the given expression we get this truth table.