Day 43: Boolean Algebra

Hello Dear Students,
Hope you all are doing good...

So, aaj hum boolean algebra topic ko cover karenge,

Let's get started...

BOOLEAN ALGEBRA -
  • Boolean Algebra was first developed by George Boole in 1854, but the formal definition was given by E.V.Huntington in 1904.
  • Boolean ka matlab hota hai true or false, here 0 and 1.
  • Boolean Algebra is a branch of mathematics algebra.
  • Boolean algebra is set of 3 operations which are-
  1. + (similar to logical OR), also denoted as ∨ 
  2. ・(similar to logical AND), also denoted as ∧
  3. ー (NOT), also denoted as prefix ᄀ
  • There are only 2 values i.e. 0 and 1, agar hum koi bhi operation perform karenge so uska result 0 and 1 mein hi ayega, whether 0, 1, or combination of 0 and 1.
The Truth Table of these 3 operations, AND, OR, NOT as as follows- 

  • Truth Table for AND

  • Truth Table for OR


  • Truth Table for NOT

  • PRECEDENCE OF BOOLEAN OPERATIONS 
Operator Symbol Precedence         
Parenthesis ( ) First Priority for solving Parenthesis
AND ・ Highest 
OR +Middle 
NOT ー Lowest 

  • Duality Principle - Duality principle is very simple. In this, replace 0 with 1 and 1 with 0. And also replace + with ・, and ・ with +. 
  • Note that, because boolean algebra has only 2 values, 0 and 1, then the complement of 1 is 0, and the complement of 0 is 1.

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