RULES OF BOOLEAN ALGEBRA

      

      1.       The symbol which represent an element in a Boolean Algebra is known as variable. For example, A is a variable which can have the values either  0 [or] 1.

       2.       A complement of a variable is represented by ‘bar’ over the letter i.e. A`. Sometimes, we can also represent the complement with ‘prime ‘  symbol  i.e. A`.

       3.         AND gate is represented by ‘∙’ operator between the variables.

       4.       OR gate is represented by ‘+’ operator between the variables.

       5.       0+A=A      [or]        A+0=A

       6.       1+A=1      [or]        A+1=1

       7.       A+A=A

       8.       A+A`=1     [or]       A`+A=1

       9.       0∙A=0        [or]       A∙0=0
   
      10.   1∙A=A        [or]       A∙1=A

      11.   A∙A=A

      12.   AA`=0       [or]    A`A=0


      13.   A``=A.