Boolean expression exercises

From WLCS

Directions:

  • Write out the truth table for the following Boolean expressions.
  • If possible, simplify the expression.

Beginner:

  1. AB + BC'
  2. (A+B)C
  3. A' + BC + C'
  4. BC + A'
  5. ABC + BC

Intermediate:

  1. (ABC)' + AB
  2. A' + B(A + C)
  3. AB + (AB)' + A'B
  4. AB + BC + (AC)'
  5. ABC + AB'C + A'BC
  6. A'BC' + (AB)' + BC
  7. AB + (BC)' + A'BC
  8. (A + B)C' + AB
  9. ABC + (AB)'C + A'BC
  10. ABC' + AB'C + A'BC + ABC
  11. (AB+A'B) + ABC + A'B'C' + AC
  12. (AB)' + A + C'
  13. BC' + A'B' + ABC + AB
  14. A'C + B'C + A'BC
  15. ABC + BC + AC + A'B'C'