Boolean Algebra Simplification using Laws
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Questions and Answers

What is the Boolean expression corresponding to lines 1, 3, and 5 in the given table?

  • X = (A + B) * C
  • X = (A * B) + C
  • X = (A + B + C)
  • X = (A * B * C) (correct)

    • In the simplification process, what is the first step to simplify X = (A * B * C) + (A * B * C) + (A * B * C)?

  • X = A.C(B + B) + (A * B * C)
  • X = A.C.1 + (A * B * C) (correct)
  • X = A.C + (A * B * C)
  • X = C.(A + A.B)

    • Which law was used in the step 'X = C.(A + A.B)' during the simplification of the Boolean expression?

  • Associative Law (correct)
  • Commutative Law
  • Identity Law
  • Distributive Law

    • What is the simplified Boolean Expression for X when the expression X = (A + B)C is fully simplified?

    <p>X = (A + B).C</p> Signup and view all the answers

    Which law was applied in the step 'X = (A.C)(B + B)' during the simplification of the Boolean expression?

    <p>Identity Law</p> Signup and view all the answers

    In the simplification process, what is the correct next step after 'X = C.(A + A.B)'?

    <p>X = C.(B + A)</p> Signup and view all the answers

    What is the complement of the expression A'.B'?

    <p>(AB)'</p> Signup and view all the answers

    The expression ((A + C)(AB)' + (BC + A')')' simplifies to which of the following?

    <p>(AC)</p> Signup and view all the answers

    (A + B)(A + B) + A(A + B') simplifies to which of the following expressions?

    <p>(AB) + A'</p> Signup and view all the answers

    (A'.B + A.B')' simplifies to which of the following expressions?

    <p>(AB)'</p> Signup and view all the answers

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