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The world of Mathematics plays a significant role in our everyday life. Boolean is part of algebra which is comprised of three main operators which are termed as Boolean Operators. “OR,” “AND,” and “NOT” are the three types of Boolean operators.

English Mathematician George Boole developed Boolean Logic (or Algebra). Boolean Logic is an essential module for a computer. The Boolean Logic matches perfectly with the binary number system (i.e., number system comprising of 0 and 1), and hence it is well supported by the computer system. The results obtained in Boolean Logic is either True which denotes 1 or False which denotes 0.

Let us now discuss the various Boolean Operators (also known as Logic Gates).

A | B | R |

0 | 0 | 0 |

0 | 1 | 1 |

1 | 0 | 1 |

1 | 1 | 1 |

Here A and B are the two given relations and R is the result after OR operation. We see the result R is 1 (TRUE) if either of A or B or both are True. The result is False, i.e. 0 only when both A and B are 0.

A | B | R |

0 | 0 | 0 |

0 | 1 | 0 |

1 | 0 | 0 |

1 | 1 | 1 |

Here A and B are the two given relations and R is the result obtained after AND operation. We see that R is TRUE (i.e., 1) when both the relations are the same and False in all other cases.

A | B |

0 | 1 |

1 | 0 |

Here A is the input and B is the Output obtained after AND Operation. We see that the output stored in B is opposite to that of the data stored in A.

Based on these three primitive logic gates, few more logic gates are developed which are as follows:

**NAND:**Combination of AND and NOT.**NOR:**Combination of NOT and OR**XOR**and**XNOR:**Known as exclusive OR and exclusive NOR gates respectively.

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