Difference between revisions of "Boolean expression exercises"
From WLCS
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'''Directions:''' | '''Directions:''' | ||
− | * Write out the truth table for the following Boolean expressions. | + | * 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 | # ABC' + AB'C + A'BC + ABC | ||
# (AB+A'B) + ABC + A'B'C' + AC | # (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:
- AB + BC'
- (A+B)C
- A' + BC + C'
- BC + A'
- ABC + BC
Intermediate:
- (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' + AB
- ABC + (AB)'C + A'BC
- 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'