tricks to remember all boolean algebra laws class 12 cs

Sure, here are some tricks to remember Boolean Algebra laws:

1. Commutative Law: Just like in arithmetic, in Boolean algebra, the order in which the variables are listed does not matter. So, A+B = B+A and A.B = B.A.

2. Associative Law: Again, similar to arithmetic, the way in which the variables are grouped does not matter. So, (A+B)+C = A+(B+C) and (A.B).C = A.(B.C).

3. Distributive Law: This law distributes one variable over another. So, A.(B+C) = A.B + A.C and A+(B.C) = (A+B).(A+C).

4. Identity Law: This law states that a variable ANDed with 1 or ORed with 0 will always give the variable itself. So, A+0 = A and A.1 = A.

5. Null Law: This law states that a variable ANDed with 0 or ORed with 1 will always give 0 or 1 respectively. So, A+1 = 1 and A.0 = 0.

6. Complement Law: This law states that a variable ANDed with its complement will give 0 and a variable ORed with its complement will give 1. So, A+A' = 1 and A.A' = 0.

7. Idempotent Law: This law states that a variable ORed or ANDed with itself will always give the variable itself. So, A+A = A and A.A = A.

8. Involution Law: This law states that the complement of the complement of a variable will give the variable itself. So, (A')' = A.

9. Absorption Law: This law states that a variable ORed with the AND of itself and anything is the variable itself and a variable ANDed with the OR of itself and anything is the variable itself. So, A + A.B = A and A.(A+B) = A.

10. De Morgan's Law: This law states that the complement of the OR of two variables is the same as the AND of their complements and vice versa. So, (A+B)' = A'.B' and (A.B)' = A'+B'.

Remembering these laws can be made easier by relating them to their arithmetic counterparts and practicing problems regularly.