Introduction to Basic Logical Operators

Previously we have discussed about law of exponential growth and In today's session we are going to discuss about mathematical logic concept which we will study icse books .Logic means reasoning, where reasoning may be legal opinion or mathematical confirmations. There are basically three BasicLogical Operators in mathematics - Negation , Conjunction and Disjunction and we will discuss their definition by the truth tables.

Negation (<) is a basic mathematical logic which is working like NOT operator means it gives opposite result of input like if input is yes then negation gives no as output.We can understand the logic of negation by truth table(want to Learn more about Logical Operators ,click here),

Input(x)      Output(< div=""> <>

True             False

False           True

We take some examples which are solved by negation

example 1 - problem : x is taller than y.

solution : x is not taller than y.

example 2 - problem : this is a leap year .

solution : this is not a leap year.

2. Conjunction(>) is a basic mathematical logic which is working like AND operation means if both conditions are true then it gives true else it gives false. Truth table of Conjunction between two inputs is

       Input    Input     Output(>)

          P           Q         (P AND Q)

       False   False       False

       True     False       False

       True     True        True

       False   True         False

3. Disjunction(V) is also a basic mathematical logic which is working like OR operation means if any condition is true is produces true as a result else in any other condition it produces false as a result and truth table of disjunction between two input are

      Input      Input     Output(>)

        P             Q          (P OR Q)

      False    False       False

      True      False       True

      True      True          True

      False    True          True

So, there are basically three logical operators which are commonly used in reasoning. So this is a brief discussion about logical operators. In the next article we will discuss about Negations in Mathematics and also about Frequency Distribution.