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Home Digital Electronics Boolean Algebra and Logic Simplification Comments

  • Question
  • A truth table for the SOP expression A truth table for the SOP expression has how many input combinations? 1 2 4 8 has how many input combinations?


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

  • Correct Answer



  • Boolean Algebra and Logic Simplification problems


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    • 1. 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
    • 2. Applying DeMorgan's theorem to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 3. Applying the distributive law to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 4. When are the inputs to a NAND gate, according to De Morgan's theorem, the output expression could be:

    • Options
    • A. X = A + B
    • B.
    • C. X = (A)(B)
    • D.
    • Discuss
    • 5. Applying DeMorgan's theorem to the expression , we get ________.

    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 6. AC + ABC = AC

    • Options
    • A. True
    • B. False
    • Discuss
    • 7. Mapping the SOP expression , we get ________.


    • Options
    • A. (A)
    • B. (B)
    • C. (C)
    • D. (D)
    • Discuss
    • 8. 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
    • 9. Mapping the standard SOP expression , we get


    • Options
    • A. (A)
    • B. (B)
    • C. (C)
    • D. (D)
    • Discuss
    • 10. 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


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