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

  • 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

  • Correct Answer
  • AB = BA 

    • Boolean Algebra and Logic Simplification problems

    Search Results

    • 1. 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
    • 2. Which is the correct logic function for this PAL diagram?


    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 3. Derive the Boolean expression for the logic circuit shown below:


    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 4. 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
      • Discuss
    • 5. Applying DeMorgan's theorem to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 6. Applying DeMorgan's theorem to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 7. When are the inputs to a NAND gate, according to De Morgan's theorem, the output expression could be:

    • Options
    • A. X = A + B
    • B.
    • C. X = (A)(B)
    • D.
      • Discuss
    • 8. Applying the distributive law to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 9. Applying DeMorgan's theorem to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 10. Occasionally, a particular logic expression will be of no consequence in the operation of a circuit, such as a BCD-to-decimal converter. These result in ________terms in the K-map and can be treated as either ________ or ________, in order to ________ the resulting term.

    • Options
    • A. don't care, 1s, 0s, simplify
    • B. spurious, ANDs, ORs, eliminate
    • C. duplicate, 1s, 0s, verify
    • D. spurious, 1s, 0s, simplify
      • Discuss

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