Truth Table

What is Truth Table?

It is the tabular representation of Boolean function from Boolean expression. In simple world, truth table describes how a Boolean expression behaves on different types input. For Constructing a truth table certain rule are followed which is called " Precedence Rule" According to it :

1. Evaluate complement variable at first.

2. Evaluate expression within parenthesis.

3. Evaluate And before OR operation.

So before creating truth table you also need to know the three basic operator.

1. And operation:  And operation says that It produce True(1) only when all the input are true.

Expression: F= A.B

Here dot represent And operation.

Truth Table






2. OR operation: Or operation says that It produce (1) if any of the input value is true i.e 1.
Expression; A+B











3. NOT Operation: It is also called complement or negation or inversion operation. It is denoted by (', -,~,!) operator.

[ This operation works on single line input and  it complement the logic of input.]

Expression: F= A'











Example:

Draw the truth table for given Boolean algebra.