Boolean Algebra and Logic Simplification Questions and Answers

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Q21
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: Option C
Q22
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: Option C
Q23
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: Option C
Q24
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: Option C
Q25
A variable is a symbol used to represent a logical quantity that can have a value of 1 or 0.
  • A TRUE
  • B FALSE
Answer: Option A
Q26
The OR function is Boolean multiplication and the AND function is Boolean addition.
  • A TRUE
  • B FALSE
Answer: Option B
Q27
The product-of-sums (POS) is basically the ORing of ANDed terms.
  • A TRUE
  • B FALSE
Answer: Option B
Q28
SOP stands for sum-of-powers.
  • A TRUE
  • B FALSE
Answer: Option B
Q29
The VHDL editor provided with a schematic editor development system will produce a file with the extension .vhd, which can be used by the simulator to test the output of the logic design.
  • A TRUE
  • B FALSE
Answer: Option A
Q30
In the commutative law, in ORing and ANDing of two variables, the order in which the variables are ORed or ANDed makes no difference.
  • A TRUE
  • B FALSE
Answer: Option A

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