DIGital:

Lesson 0100: Intermediate Simplifying of Boolean Expressions

Here are some VERY important rules to know when simplifying Boolean expressions.

X+~XY = X+Y

(X+Y)(X+Z) = X+YZ

A(A+B) = A

A@B = A~B+~AB

~(A@B) = ~A@B = A@~B


Check your progress

  1. Simplify the following expression as much as possible.

    ~(A@B)

      ~A~B+~AB
      ~A~B+AB
      ~AB+A~B
      ~AB+AB
  2. Is the following expression an equality?

    (X+Y)(X+Z)=X+YZ

      yes
      no
  3. Simplify the following expression.

    A@B+AB

      A + ~AB
      A+B
      ~B+A
      ~A+~B
  4. Is the following equation true?

    A(A+B)=A

      no
      yes

  5. Simplify: AB+~B+A+C

      A+~B+~C
      A+B+~C
      ~A+B+C
      ~A+B+~C
      A+~B+C


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