Computer Science

Reduce the following boolean expression to its simple form:
A.[B + C.(A.B + A.C')]

Boolean Algebra

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Answer


  A.[B + C.(A.B + A.C')]
= A.[B + A.B.C + A.C'.C]  [Distributive Law]
= A.[B + A.B.C + 0]       [Complementary Law: C'.C = 0]
= A.[B(1 + AC)]           [Distributive Law]
= A.B                     [&#8757; 1+AC=1]

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Computer Science

Reduce the following boolean expression to its simple form:
A.[B + C.(A.B + A.C')]

Boolean Algebra

Answer

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Reduce the following boolean expression to its simple form:A.[B + C.(A.B + A.C')]

Boolean Algebra

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Find the complement of F (a, b, c, d) using Demorgan's Laws. Show the relevant reasoning.
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