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Boolean Algebra and Logic Simplification problems

  • 1. Determine the binary values of the variables for which the following standard POS expression is equal to 0. Digital Electronics Boolean Algebra and Logic Simplification: Determine the binary values of the variables for which the following standard POS expression is equa

  • Options
  • 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)
    • Discuss
  • 2. Which of the following combinations cannot be combined into K-map groups?

  • Options
  • A. corners in the same row
  • B. corners in the same column
  • C. diagonal
  • D. overlapping combinations
    • Discuss
  • 3. From the truth table below, determine the standard SOP expression.

    Digital Electronics Boolean Algebra and Logic Simplification: From the truth table below, determine the standard SOP expression.


  • Options
  • A.
  • B.
  • C.
  • D.
    • Discuss
  • 4. Which output expression might indicate a product-of-sums circuit construction?

  • Options
  • A.
  • B.
  • C.
  • D.
    • Discuss
  • 5. The expression W(X + YZ) can be converted to SOP form by applying which law?

  • Options
  • A. associative law
  • B. commutative law
  • C. distributive law
  • D. none of the above
    • Discuss
  • 6. One of De Morgan's theorems states that Digital Electronics Boolean Algebra and Logic Simplification: One of De Morgan's theorems states that. Simply stated, this means that logically there is no difference between:

  • Options
  • A. a NOR and an AND gate with inverted inputs
  • B. a NAND and an OR gate with inverted inputs
  • C. an AND and a NOR gate with inverted inputs
  • D. a NOR and a NAND gate with inverted inputs
    • Discuss
  • 7. The process of reduction or simplification of combinational logic circuits increases the cost of the circuit.

  • Options
  • A. True
  • B. False
    • Discuss
  • 8. By applying De Morgan's theorem to a NOR gate, two identical truth tables can be produced.

  • Options
  • A. True
  • B. False
    • Discuss
  • 9. The OR function is Boolean multiplication and the AND function is Boolean addition.

  • Options
  • A. True
  • B. False
    • Discuss
  • 10. CPLD software can be used to design original circuits that prove the Boolean rules and laws.

  • Options
  • A. True
  • B. False
    • Discuss

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