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') [∵ D'' = D]
= A'B'C' + A'DE' [Distributive Law]
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