**Truth table: **An array on which all possible truth values of compound statements are displayed, through the display of all possible combinations of the truth values of their simple components. A truth table may be used to define truth-functional connectives; it may also be used to test the validity of many deductive arguments. To draw truth table follow this formula:

Number of rows = 2^{n}

2 represents constant for truth and falsity.

*n* represents “number of discrete atomic components.”

Its means also then how many component in the given compound statement. In the below example there is only two component p and q so we draw truth table like this. 2 x 2 =4, in first column we add two Ts and two Fs and second we add one T and one F and so on. If there is 3 component we draw 8 rows. Two number of rows increase with the number of component.

**For example: p≡q (If and only if Ram will pass BA, then he will join MA.)**

**p** |
**q** |
**p≡q** |

T |
T |
T |

T |
F |
F |

F |
T |
F |

F |
F |
T |

**Truth Value:** The status of any statement as true, or false.

**Truth-Functional Component:** Any component of a compound statement whose replacement by another statement having the same truth value would not change the truth value of the compound statement.

**Truth-Functional Connective:** Any logical connective (including conjunction, disjunction, material implication, and material equivalence) between the components of a truth –functional compound statement.

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Comment by anonymous blogging — March 23, 2013 @ 9:07 am |

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Comment by Oluwafemi — February 25, 2014 @ 10:24 am |