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Home Electronics Logic Circuit Simplification Comments

  • Question
  • 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

  • Correct Answer
  • A ? B = B ? A 


  • Logic Circuit Simplification problems


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    • 1. The systematic reduction of logic circuits is accomplished by:

    • Options
    • A. symbolic reduction
    • B. TTL logic
    • C. using Boolean algebra
    • D. using a truth table
    • Discuss
    • 2. Which statement below best describes a Karnaugh map?

    • Options
    • A. It is simply a rearranged truth table.
    • B. The Karnaugh map eliminates the need for using NAND and NOR gates.
    • C. Variable complements can be eliminated by using Karnaugh maps.
    • D. A Karnaugh map can be used to replace Boolean rules.
    • Discuss
    • 3. The Boolean expression is logically equivalent to what single gate?

    • Options
    • A. NAND
    • B. NOR
    • C. AND
    • D. OR
    • Discuss
    • 4. What is the resultant binary of the decimal problem 49 + 1 =?

    • Options
    • A. 01010101
    • B. 00110101
    • C. 00110010
    • D. 00110001
    • Discuss
    • 5. What is the difference between binary coding and binary coded decimal?

    • Options
    • A. Binary coding is pure binary.
    • B. BCD is pure binary.
    • C. Binary coding has a decimal format.
    • D. BCD has no decimal format.
    • Discuss
    • 6. Which output expression might indicate a product-of-sums circuit construction?

    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. 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
    • Discuss


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