Difference between revisions of "Boolean expression exercises"

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(New page: # AB + BC' # (A+B)C # A' + BC + C' # BC + A' # (ABC)' + AB # A' + B(A + C) # AB + (AB)' + A'B # AB + BC + (AC)' # ABC + AB'C + A'BC # A'BC' + (AB)' + BC # AB + (BC)' + A'BC # (A + B)C' + A...)
 
 
(2 intermediate revisions by the same user not shown)
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 +
'''Directions:'''
 +
* Write out the truth table for the following Boolean expressions. 
 +
* If possible, simplify the expression.
 +
 +
'''Beginner:'''
 
# AB + BC'
 
# AB + BC'
 
# (A+B)C
 
# (A+B)C
 
# A' + BC + C'
 
# A' + BC + C'
 
# BC + A'
 
# BC + A'
 +
# ABC + BC
 +
 +
'''Intermediate:'''
 
# (ABC)' + AB
 
# (ABC)' + AB
 
# A' + B(A + C)
 
# A' + B(A + C)
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# ABC + (AB)'C + A'BC
 
# ABC + (AB)'C + A'BC
 
# ABC' + AB'C + A'BC + ABC
 
# ABC' + AB'C + A'BC + ABC
 +
# (AB+A'B) + ABC + A'B'C' + AC
 +
# (AB)' + A + C'
 +
# BC' + A'B' + ABC + AB
 +
# A'C + B'C + A'BC
 +
# ABC + BC + AC + A'B'C'

Latest revision as of 12:39, 18 January 2012

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'