Laws of Boolean Algebra

LAWS   OF   BOOLEAN   ALGEBRA

                                                                                     

Law	AND form	OR form
Identity Law	A . 1 = A	A+ 0 = A
Zero and One Law	A . 0 = 0	A + 1 = 1
Inverse Law	A . A’ = 0	A + A’ = 1
Idempotent Law	A . A = A	A + A = A
Commutative Law	A.B = B.A	A + B = B + A
Associative Law	A.(B.C) = (A.B).C	A+(B+C) = (A+B)+C
Distributive Law	A+(B.C) = (A+B).(A+C)	A.(B+C) = (A.B)+(A.C)
Absorption Law	A(A+B) = A	A + A.B = A A + A’B = A+B
DeMorgan’s Law	(A.B)' = A'+B'	(A+B)' = A'.B'
Double Complement Law	X" = X

 ***We’re sure that u love to memorize something rite???

Hehe.. So, let’s memorize these laws for better understanding n don’t 4get to do lots of exercises too.. J J J J

~MARAFASHA~

by: Hazyanty Shahira Abd halim

Symbols & Combination of Logic Gates

1.  Type of Gates: NOT

     Output           : A NOT

2. Ty
pe of Gate:

3. Type of Gates:
    Output           :

4. Type of Gates:
    Output           : 

5. Type of Gates:
    Output           :   

   





by:
Nur fariny sabtu

Explaining Logic Gates

1.  presently, many electrical appliances are able to receive commands to carry out its specific tasks.
 

2.  these appliances receive input from the environment. make a          decision on the input & then give out the

     result as an output.

3.  an electronic device that can be used to perform these tasks is        called a logic gate.

4.  in a logic gate, there may be several inputs or may be a single          input. But the output would be

     only one.

5.  the logic gates are to automatically switched "ON" or "OFF".

6.  the binary digits "1" & "0" are used to represent "ON" & "OFF" states respectively.

7.  all possible situations of the inputs & outputs of the logic gates will be listed in a truth table.

8.  the total number of combined output,N that can possibly be obtained from n variables of the inputs can be calculated using the formula N = 2n

EXAMPLE:

by;

nur fariny sabtu