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09 - Complement and Absorptive laws

 1. A variable AND’ed with its complement is always equal to _____

  Answer: AND

  Answer: NOT

  Answer:1

  Answer: 0

 2. A variable OR’ed with its complement is always equal to _____

  Answer: AND

  Answer: 1

  Answer: 0

  Answer: NOT

 3. The absorptive law enables a reduction in a complicated expression to a simpler one by absorbing like terms.

  TRUE

  FALSE

 4. A + (A.B) = ____ (OR Absorption Law)

  B

  A

  AB

  A+B

 5. _________ = A (AND Absorption Law)

  A+B(B+A)

  AB(AB)

  AA(BB)

  A(A + B)

 6. A+(A+ B) could be reduced to:

  (A+B)

  B

  AB

  A

 7. A+(A* B) could be reduced to:

  AB

  B

  (A+B)

  A

 8. A*(A+B) could be reduced to:

  A

  (A+B)

  B

  AB

 9. A*(A+B)*A*(A+B)+B could be reduced to:

  B

  AB

  (A+B)

  A

 10. A*(A+B)*A*(A+B)*A*(A+B) could be reduced to:

  (A+B)

  AB

  B

  A

 11. A+(A*B)*A*(A+B) could be reduced to:

  B

  A

  (A+B)

  AB

 12. B+(A*B)*B+(A+B) could be reduced to:

  A

  AB

  B

  (A+B)

 13. B+(A*B) could be reduced to:

  AB

  A

  B

  (A+B)

 14. B*(B+A) could be reduced to:

  A

  B

  AB

  (A+B)

 15. B*(B+A)*B*(C+B) could be reduced to:

  B

  (A+B)

  A

  AB

 16. A * ~A = 0 (complement law)

  TRUE

  FALSE

 17. A + ~A = 1 (complement law)

  TRUE

  FALSE

 18. ~(A * B) * (~A + B) * (~B + B) could be reduced to ~(A * B) * (~A + B) * 1 using the _________ law.

  double negation

  complement

  absorptive

  commutation

 19. Using the complement law, ~A + ~B * B could be reduced to _____________

  1

  A

  A1

  ~A + 0

 20. Both of the below equations can be simplified, using __________ to A.
complementandabs1.png

  distribution

  absorption

  commutation

  complementation

 21. (A * B) + (A * ~B) = A

  TRUE

  FALSE

 22. (A + B) * (A + ~B) = B

  TRUE

  FALSE

 23. (A + B) * (A + ~B) =A

  FALSE

  TRUE

 24. A + (~A * B) = A + B

  FALSE

  TRUE

 25. A * (~A + B) =

  A *B

  A

  A+B

  B