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Home Digital Electronics Boolean Algebra and Logic Simplification Comments

  • Question
  • One of De Morgan's theorems states that One of De Morgan's theorems states that . Simply stated, this means that logically there is no diffe. Simply stated, this means that logically there is no difference between:


  • Options
  • A. a NOR and an AND gate with inverted inputs
  • B. a NAND and an OR gate with inverted inputs
  • C. an AND and a NOR gate with inverted inputs
  • D. a NOR and a NAND gate with inverted inputs

  • Correct Answer
  • a NOR and an AND gate with inverted inputs 


  • Boolean Algebra and Logic Simplification problems


    Search Results


    • 1. The expression W(X + YZ) can be converted to SOP form by applying which law?

    • Options
    • A. associative law
    • B. commutative law
    • C. distributive law
    • D. none of the above
    • Discuss
    • 2. Which output expression might indicate a product-of-sums circuit construction?

    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 3. From the truth table below, determine the standard SOP expression.


    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 4. Which of the following combinations cannot be combined into K-map groups?

    • Options
    • A. corners in the same row
    • B. corners in the same column
    • C. diagonal
    • D. overlapping combinations
    • Discuss
    • 5. Determine the binary values of the variables for which the following standard POS expression is equal to 0.

    • Options
    • A. (0 + 1 + 0)(1 + 0 + 1)
    • B. (1 + 1 + 1)(0 + 0 + 0)
    • C. (0 + 0 + 0)(1 + 0 + 1)
    • D. (1 + 1 + 0)(1 + 0 + 0)
    • Discuss
    • 6. Implementing the expression AB + CDE using NAND logic, we get:


    • Options
    • A. (A)
    • B. (B)
    • C. (C)
    • D. (D)
    • Discuss
    • 7. A 4-variable AND-OR circuit produces a 0 at its Y output. Which combination of inputs is correct?

    • Options
    • A. A = 0, B = 0, C = 1, D = 1
    • B. A = 1, B = 1, C = 0, D = 0
    • C. A = 1, B = 1, C = 1, D = 1
    • D. A = 1, B = 0, C = 1, D = 0
    • Discuss
    • 8. One possible output expression for an AND-OR-Invert circuit having one AND gate with inputs A, B, and C and one AND gate with inputs D and E is ________.

    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 9. Before an SOP implementation, the expression would require a total of how many gates?

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 5
    • Discuss
    • 10. A 4-variable AND-OR-Invert circuit produces a 0 at its Y output. Which combination of inputs is correct?

    • Options
    • A.
    • B.
    • C.
    • D. none of the above
    • Discuss


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