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Home Digital Electronics Boolean Algebra and Logic Simplification Comments

  • Question
  • Determine the binary values of the variables for which the following standard POS expression is equal to 0. Determine the binary values of the variables for which the following standard POS expression is equa


  • 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)

  • Correct Answer
  • (0 + 1 + 0)(1 + 0 + 1) 


  • Boolean Algebra and Logic Simplification problems


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    • 1. Mapping the standard SOP expression , we get


    • Options
    • A. (A)
    • B. (B)
    • C. (C)
    • D. (D)
    • Discuss
    • 2. Use Boolean algebra to find the most simplified SOP expression for F = ABD + CD + ACD + ABC + ABCD.

    • Options
    • A. F = ABD + ABC + CD
    • B. F = CD + AD
    • C. F = BC + AB
    • D. F = AC + AD
    • Discuss
    • 3. Mapping the SOP expression , we get ________.


    • Options
    • A. (A)
    • B. (B)
    • C. (C)
    • D. (D)
    • Discuss
    • 4. AC + ABC = AC

    • Options
    • A. True
    • B. False
    • Discuss
    • 5. A truth table for the SOP expression has how many input combinations?

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 8
    • Discuss
    • 6. 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
    • 7. From the truth table below, determine the standard SOP expression.


    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 8. Which output expression might indicate a product-of-sums circuit construction?

    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 9. 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
    • 10. One of De Morgan's theorems states that . 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
    • Discuss


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