Explore the underlying structure that unites Logic and Set Theory.

Explore the underlying structure that unites Logic and Set Theory.

Outline

• Read Chapter 9 Research:Boolean Algebra • Answer the questions below. Refer to

the attached for table, for questions 6&7.

Instructions

Answer the following questions. Present your answers in a MSWord Document named LastName_FirstInitial_Proj1.

Research

  1. What is a Boolean Variable?
  2. Create a table demonstrating the Boolean Operations complement, addition, and multiplication. { ¯,+,·}note: you can use ’ instead of the overline in this project
  3. Calculate the result for the boolean function: f(x,y) = (x∙y) + (x∙ȳ) for the following inputsx = 1 and y = 1 : f(1,1) = ?

    x = 0 and y = 1 : f(0,1) = ?

  4. How many Boolean functions on two variables are there?
  5. What does functionally complete mean?
  6. What is a literal? Given the Boolean Variables x and y, what are the associated four literals?
  7. What is a minterm? Given the Boolean Variables x and y, what are the associated four minterms? Identify the four functions from the Table 3 that correspond to each minterm.
  8. What is disjunctive normal form?Given the Boolean Variables x and y, give the Boolean function in disjunctive normal form for functions F9 and F1