Digital Electronics-Boolean Algebra and Logic Simplification

Digital Electronics-Boolean Algebra and Logic Simplification
21. Which of the examples below expresses the commutative law of multiplication?
  • A + B = B + A
  • AB = B + A
  • AB = BA
  • AB = A × B
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22. The expression W(X + YZ) can be converted to SOP form by applying which law?
  • associative law
  • commutative law
  • distributive law
  • none of the above
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23. The commutative law of addition and multiplication indicates that:
  • we can group variables in an AND or in an OR any way we want
  • an expression can be expanded by multiplying term by term just the same as in ordinary algebra
  • the way we OR or AND two variables is unimportant because the result is the same
  • the factoring of Boolean expressions requires the multiplication of product terms that contain like variables
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24. Which of the following combinations cannot be combined into K-map groups?
  • corners in the same row
  • corners in the same column
  • diagonal
  • overlapping combinations
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25. A variable is a symbol used to represent a logical quantity that can have a value of 1 or 0.
  • TRUE
  • FALSE
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26. The OR function is Boolean multiplication and the AND function is Boolean addition.
  • TRUE
  • FALSE
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27. The product-of-sums (POS) is basically the ORing of ANDed terms.
  • TRUE
  • FALSE
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28. SOP stands for sum-of-powers.
  • TRUE
  • FALSE
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29. 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.
  • TRUE
  • FALSE
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30. In the commutative law, in ORing and ANDing of two variables, the order in which the variables are ORed or ANDed makes no difference.
  • TRUE
  • FALSE
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