Exercise: Boolean Algebra And Logic Simplification

Questions for: Boolean Algebra And Logic Simplification

Which of the following combinations cannot be combined into K-map groups?
A:
corners in the same row
B:
corners in the same column
C:
diagonal
D:
overlapping combinations
Answer: C
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The commutative law of addition and multiplication indicates that:
A:
we can group variables in an AND or in an OR any way we want
B:
an expression can be expanded by multiplying term by term just the same as in ordinary algebra
C:
the way we OR or AND two variables is unimportant because the result is the same
D:
the factoring of Boolean expressions requires the multiplication of product terms that contain like variables
Answer: C
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The expression W(X + YZ) can be converted to SOP form by applying which law?
A:
associative law
B:
commutative law
C:
distributive law
D:
none of the above
Answer: C
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Determine the binary values of the variables for which the following standard POS expression is equal to 0.
A:
(0 + 1 + 0)(1 + 0 + 1)
B:
(1 + 1 + 1)(0 + 0 + 0)
C:
(0 + 0 + 0)(1 + 0 + 1)
D:
(1 + 1 + 0)(1 + 0 + 0)
Answer: A
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Which of the examples below expresses the commutative law of multiplication?
A:
A + B = B + A
B:
AB = B + A
C:
AB = BA
D:
AB = A × B
Answer: C
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