Boolean Laws

Hi friends, Previously we have discussed about slope worksheets and today we are going to learn about Boolean Laws, one of the most interesting and a bit complicated topic of mathematical world named as Boolean Algebra that comes into maharashtra education board. To solve Boolean Algebra problems what we need to do is hard work and a daily little practice. Boolean laws and theorems are also needed to understand before starting to solve boolean algebra.
Boolean Algebra :-It was developed by George Boole in year 1840 , it represents logical calculus of truth values and algebra of real numbers with operations like ab , a+b ,
Boolean algebra (or Boolean logic) is a logical calculus of truth value, developed by George Boole in the 1840s. It resembles the algebra of real numbers, but with the numeric operations of multiplication xy, addition x + y, and negation −x replaced by the respective logical operations, (Know more about Boolean Laws in broad manner, here,)
It is algebra of two algebra values where one can be either true or false
Boolean Laws:

Identity for Single Variable
Operations with 1and 0: 1. A+ 0 = A (identity) 3. A + 1 = 1 (null element)	2. A.1 = A 4. A.0 = 0
Idempotency theorem: 5. Y + Y = Y	6. Y.Y = Y
Complementarity: 7. X + X’ = 1	8. X.X’ = 0
Involution theorem: 9. (Y’)’ = Y
Identities for multiple variables
Commutative law:  10. A + B = B + A	11. A.B = B.A
Associative law: 12. (X + Y) + Z = X + (Y + Z)      = X + Y + Z	13. (XY)Z = X(YZ)        = XYZ
Distributive law: 14. a(b + c) = ab + ac	15. a + (bc) = (a + b)(a + c) Example :  (A+B)(AC+AC)+AB+B Solution :(A+B)A(C+C)+AB+B (A+B)A+AB+B A((A+B)+B)+B A(A+B)+B AA+AB+B A+(A+T)B A+B

Conjunction disjunction and Complement are the three basic operations which we can perform on Boolean values.
In The Next Topic We Are Going To Discuss Boolean Laws and if anyone want to know about Constructing geometry shapes then they can refer to Internet and text books for understanding it more precisely.