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

  • 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

  • Correct Answer
  • F = ABD + ABC + CD 

    • Boolean Algebra and Logic Simplification problems

    Search Results

    • 1. Mapping the SOP expression , we get ________.


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

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

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 8
      • Discuss
    • 4. Occasionally, a particular logic expression will be of no consequence in the operation of a circuit, such as a BCD-to-decimal converter. These result in ________terms in the K-map and can be treated as either ________ or ________, in order to ________ the resulting term.

    • Options
    • A. don't care, 1s, 0s, simplify
    • B. spurious, ANDs, ORs, eliminate
    • C. duplicate, 1s, 0s, verify
    • D. spurious, 1s, 0s, simplify
      • Discuss
    • 5. Applying DeMorgan's theorem to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 6. Mapping the standard SOP expression , we get


    • Options
    • A. (A)
    • B. (B)
    • C. (C)
    • D. (D)
      • Discuss
    • 7. 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
    • 8. 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
    • 9. From the truth table below, determine the standard SOP expression.


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

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

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