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Home Digital Electronics Boolean Algebra and Logic Simplification Comments

  • Question
  • 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

  • Correct Answer
  • NOR 


  • Boolean Algebra and Logic Simplification problems


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


    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 2. 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
    • 3. 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
    • 4. Applying DeMorgan's theorem to the expression , we get ________

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

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

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 8
    • Discuss
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. Applying DeMorgan's theorem to the expression , we get ________.

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


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