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Home ‣ Digital Electronics ‣ Boolean Algebra and Logic Simplification Comments
  • Question

  • Which of the examples below expresses the distributive law of Boolean algebra?


  • Options
  • A. (A + B) + C = A + (B + C)
  • B. A(B + C) = AB + AC
  • C. A + (B + C) = AB + AC
  • D. A(BC) = (AB) + C

  • Correct Answer
  • A(B + C) = AB + AC 

    • Boolean Algebra and Logic Simplification problems

    Search Results

    • 1. Applying DeMorgan's theorem to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 2. What is the primary motivation for using Boolean algebra to simplify logic expressions?

    • Options
    • A. It may make it easier to understand the overall function of the circuit.
    • B. It may reduce the number of gates.
    • C. It may reduce the number of inputs required.
    • D. all of the above
      • Discuss
    • 3. When grouping cells within a K-map, the cells must be combined in groups of ________.

    • Options
    • A. 2s
    • B. 1, 2, 4, 8, etc.
    • C. 4s
    • D. 3s
      • Discuss
    • 4. Which of the following expressions is in the sum-of-products (SOP) form?

    • Options
    • A. (A + B)(C + D)
    • B. (A)B(CD)
    • C. AB(CD)
    • D. AB + CD
      • Discuss
    • 5. The truth table for the SOP expression has how many input combinations?

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 8
      • Discuss
    • 6. Derive the Boolean expression for the logic circuit shown below:


    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 7. Which is the correct logic function for this PAL diagram?


    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 8. Which statement below best describes a Karnaugh map?

    • Options
    • A. A Karnaugh map can be used to replace Boolean rules.
    • B. The Karnaugh map eliminates the need for using NAND and NOR gates.
    • C. Variable complements can be eliminated by using Karnaugh maps.
    • D. Karnaugh maps provide a cookbook approach to simplifying Boolean expressions.
      • Discuss
    • 9. Which of the examples below expresses the commutative law of multiplication?

    • Options
    • A. A + B = B + A
    • B. AB = B + A
    • C. AB = BA
    • D. AB = A × B
      • Discuss
    • 10. Applying DeMorgan's theorem to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss

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