Truth tables are used for the description of data according to the different values. In digital electronics truth table are used as the Basic Terms to explain boolean algebra and Logic gates. In short truth table is used to explain the logic basically in the connection with the Boolean algebra, Boolean Functions and propositional Calculus. |

**A truth table is used to find the relation with Boolean Algebra, Boolean function and propositional Calculus**. In other word, we can say that it is a type of mathematical table which is used in logic for showing the truth value of a statement formula for each possible Combination of values taken by their logical variables.

Now, let’s see how you can Define Truth Tables. As we know that a truth table is consist of columns and rows. In the truth table the columns are defined for input variables and results of the logical operation for expression we want to represent. For a statement or any expression having ‘x’ distinct components would have ‘2

^{n’}rows in its truth table. Two truth values, 'true' and 'false' are represented by symbol ‘T’ and ‘F’ respectively (or sometimes also denoted by binary symbols 1 and 0).

In the truth table the Logical disjunction or logical alternation is a compound sentence which is formed by using the word ‘or’ to join two simple sentences.

If the value of one operand is true then result will also be true. If the values of both operands are false, then the result will also be false or we can say that that result will be true if at least one of its operands is true.

Symbolically, the truth table for X OR Y is written as X v Y or X + Y.

Now we will see how to Define Truth Tables.

x v y truth table for disjunction:

x | y | x v y |

T | T | T |

T | F | T |

F | T | T |

F | F | F |

In the above statements ‘X’ is false and the statement ‘Y’ is true.

Truth table for given statements:

X |
Y |
X v Y |

F | T | T |