Computer Science

Given F = A + (B + C).(D' + E)
Find F' and show the relevant working in steps.

Boolean Algebra

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Answer


F' = [A + (B + C).(D' + E)]'
   = A'.[(B + C).(D' + E)]'     [De-Morgan's Law]
   = A'.[(B + C)' + (D' + E)']  [De-Morgan's Law]
   = A'.[(B'C') + (D''E')]      [De-Morgan's Law]
   = A'.(B'C' + DE')            [&#8757; D'' = D]
   = A'B'C' + A'DE'             [Distributive Law]

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Computer Science

Given F = A + (B + C).(D' + E)
Find F' and show the relevant working in steps.

Boolean Algebra

Answer

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Computer Science

Given F = A + (B + C).(D' + E)Find F' and show the relevant working in steps.

Boolean Algebra

Answer

Related Questions

Obtain the truth table to verify the following expression:X.(Y + Z)= X.Y + X.ZAlso state this law.

Simplify the following expression and convert it into its canonical POS form:(X.Y + Z)(Y + Z'.X)

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Given F = A + (B + C).(D' + E)
Find F' and show the relevant working in steps.

Obtain the truth table to verify the following expression:
X.(Y + Z)= X.Y + X.Z
Also state this law.

Simplify the following expression and convert it into its canonical POS form:
(X.Y + Z)(Y + Z'.X)

What are maxterms? Convert the following function as a product of maxterms:
F(P, Q, R)= (P + Q).(P' + R')

For the given truth table A, B and C are the inputs and X is the output.
A B C X
0 0 0 1
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Write:
(i) Canonical Sum of Product expression (SOP).
(ii) Canonical Product of Sum expression (POS).