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

  • Derive the Boolean expression for the logic circuit shown below:

    Derive the Boolean expression for the logic circuit shown below:


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

  • Correct Answer
  •  

    • Boolean Algebra and Logic Simplification problems

    Search Results

    • 1. 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
      • Discuss
    • 2. 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
    • 3. Applying DeMorgan's theorem to the expression , we get ________

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

    • Options
    • A. NAND
    • B. NOR
    • C. AND
    • D. OR
      • Discuss
    • 5. 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
    • 6. 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
    • 7. The truth table for the SOP expression has how many input combinations?

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

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