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

<p>Identity Law (B)</p>
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In the simplification process, what is the correct next step after 'X = C.(A + A.B)'?

<p>X = C.(B + A) (B)</p>
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What is the complement of the expression A'.B'?

<p>(AB)' (B)</p>
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The expression ((A + C)(AB)' + (BC + A')')' simplifies to which of the following?

<p>(AC) (B)</p>
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(A + B)(A + B) + A(A + B') simplifies to which of the following expressions?

<p>(AB) + A' (D)</p>
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(A'.B + A.B')' simplifies to which of the following expressions?

<p>(AB)' (D)</p>
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