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Home Digital Electronics Boolean Algebra and Logic Simplification Comments

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


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

  • Correct Answer
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  • Boolean Algebra and Logic Simplification problems


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    • 1. The Boolean expression is logically equivalent to what single gate?

    • Options
    • A. NAND
    • B. NOR
    • C. AND
    • D. OR
    • Discuss
    • 2. 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
    • 3. 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
    • 4. The commutative law of Boolean addition states that A + B = A × B.

    • Options
    • A. True
    • B. False
    • Discuss
    • 5. How many gates would be required to implement the following Boolean expression after simplification? XY + X(X + Z) + Y(X + Z)

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 5
    • Discuss
    • 6. 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
    • 7. 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
    • 8. Derive the Boolean expression for the logic circuit shown below:


    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 9. 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
    • 10. The truth table for the SOP expression has how many input combinations?

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


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