Boolean Quiz.docx

Boolean Algebra Quiz 1. Give the relationship that represents the dual of the Boolean property A + 1 = 1? (Note: * = AND, + = OR and ' = NOT)  A*1=1  A*0=0  A+0=0  A*A=A  A*1=1

2. Give the best definition of a literal?  A Boolean variable  The complement of a Boolean variable  1 or 2  A Boolean variable interpreted literally  The actual understanding of a Boolean variable

3. Simplify the Boolean expression (A+B+C)(D+E)' + (A+B+C)(D+E) and choose the best answer.  A+B+C  D+E  A'B'C'  D'E'  None of the aboveThe actual understanding of a Boolean variable  4. Which of the following relationships represents the dual of the Boolean property x + x'y = x + y?  x'(x + y') = x'y'  x(x'y) = xy  x*x' + y = xy  x'(xy') = x'y'

 x(x' + y) = xy

5. Given the function F(X,Y,Z) = XZ + Z(X'+ XY), the equivalent most simplified Boolean representation for F is:  Z + YZ  Z + XYZ  XZ  X + YZ  None of the above

6. Which of the following Boolean functions is algebraically complete?  F = xy  F=x+y  F = x'  F = xy + yz  F = x + y'

7. Simplification of the Boolean expression (A + B)'(C + D + E)' + (A + B)' yields which of the following results?  A+B  A'B'  C+D+E  C'D'E'  A'B'C'D'E'

8. Given that F = A'B'+ C'+ D'+ E', which of the following represent the only correct expression for F'?  F'= A+B+C+D+E  F'= ABCDE  F'= AB(C+D+E)  F'= AB+C'+D'+E'

 F'= (A+B)CDE

9. An equivalent representation for the Boolean expression A' + 1 is  A  A'  1  0

10. Simplification of the Boolean expression AB + ABC + ABCD + ABCDE + ABCDEF yields which of the following results?  ABCDEF  AB  AB + CD + EF  A+B+C+D+E+F  A + B(C+D(E+F))

To submit your questions and queries please click here: Composed by David Belton - April 98