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Home Electronics Logic Circuit Simplification Comments

  • Question
  • The observation that a bubbled input OR gate is interchangeable with a bubbled output AND gate is referred to as:


  • Options
  • A. a Karnaugh map
  • B. DeMorgan's second theorem
  • C. the commutative law of addition
  • D. the associative law of multiplication

  • Correct Answer
  • DeMorgan's second theorem 


  • Logic Circuit Simplification problems


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    • 1. Which of the examples below expresses the distributive law of Boolean algebra?

    • Options
    • A. A ? (B ? C) = (A ? B) + C
    • B. A + (B + C) = (A ? B) + (A ? C)
    • C. A ? (B + C) = (A ? B) + (A ? C)
    • D. (A + B) + C = A + (B + C)
    • Discuss
    • 2. One of DeMorgan's theorems states that . Simply stated, this means that logically there is no difference between:

    • Options
    • A. a NAND gate and an AND gate with a bubbled output
    • B. a NOR gate and an AND gate with a bubbled output
    • C. a NOR gate and a NAND gate with a bubbled output
    • D. a NAND gate and an OR gate with a bubbled output
    • Discuss
    • 3. Which of the following expressions is in the sum-of-products (SOP) form?

    • Options
    • A. Y = (A + B)(C + D)
    • B. Y = AB(CD)
    • C.
    • D.
    • Discuss
    • 4. Which output expression might indicate a product-of-sums circuit construction?

    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 5. Which of the examples below expresses the commutative law of multiplication?

    • Options
    • A. A + B = B + A
    • B. A ? B = B + A
    • C. A ? (B ? C) = (A ? B) ? C
    • D. A ? B = B ? A
    • Discuss
    • 6. Logically, the output of a NOR gate would have the same Boolean expression as a(n):

    • Options
    • A. NAND gate immediately followed by an INVERTER
    • B. OR gate immediately followed by an INVERTER
    • C. AND gate immediately followed by an INVERTER
    • D. NOR gate immediately followed by an INVERTER
    • Discuss
    • 7. The commutative law of addition and multiplication indicates that:

    • Options
    • A. the way we OR or AND two variables is unimportant because the result is the same
    • B. we can group variables in an AND or in an OR any way we want
    • C. an expression can be expanded by multiplying term by term just the same as in ordinary algebra
    • D. the factoring of Boolean expressions requires the multiplication of product terms that contain like variables
    • Discuss
    • 8. Once a PAL has been programmed:

    • Options
    • A. it cannot be reprogrammed.
    • B. its outputs are only active HIGHs
    • C. its outputs are only active LOWs
    • D. its logic capacity is lost
    • Discuss
    • 9. Which type of PLD should be used to program basic logic functions?

    • Options
    • A. PLA
    • B. PAL
    • C. CPLD
    • D. SLD
    • Discuss
    • 10. The complex programmable logic device (CPLD) contains several PLD blocks and:

    • Options
    • A. field-programmable switches
    • B. AND/OR arrays
    • C. a global interconnection matrix
    • D. a language compiler
    • Discuss


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