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

  • Which Boolean algebra property allows us to group operands in an expression in any order without affecting the results of the operation [for example, A + B = B + A]?


  • Options
  • A. associative
  • B. commutative
  • C. Boolean
  • D. distributive

  • Correct Answer
  • commutative 

    • Boolean Algebra and Logic Simplification problems

    Search Results

    • 1. Which of the following is an important feature of the sum-of-products (SOP) form of expression?

    • Options
    • A. All logic circuits are reduced to nothing more than simple AND and OR gates.
    • B. The delay times are greatly reduced over other forms.
    • C. No signal must pass through more than two gates, not including inverters.
    • D. The maximum number of gates that any signal must pass through is reduced by a factor of two.
      • Discuss
    • 2. Applying DeMorgan's theorem to the expression , we get ________

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 3. The Boolean expression is logically equivalent to what single gate?

    • Options
    • A. NAND
    • B. NOR
    • C. AND
    • D. OR
      • Discuss
    • 4. A Karnaugh map is a systematic way of reducing which type of expression?

    • Options
    • A. product-of-sums
    • B. exclusive NOR
    • C. sum-of-products
    • D. those with overbars
      • Discuss
    • 5. Determine the values of A, B, C, and D that make the sum term equal to zero.

    • Options
    • A. A = 1, B = 0, C = 0, D = 0
    • B. A = 1, B = 0, C = 1, D = 0
    • C. A = 0, B = 1, C = 0, D = 0
    • D. A = 1, B = 0, C = 1, D = 1
      • Discuss
    • 6. Derive the Boolean expression for the logic circuit shown below:


    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 7. An AND gate with schematic "bubbles" on its inputs performs the same function as a(n)________ gate.

    • Options
    • A. NOT
    • B. OR
    • C. NOR
    • D. NAND
      • Discuss
    • 8. The truth table for the SOP expression has how many input combinations?

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 8
      • Discuss
    • 9. 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
    • 10. 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

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