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The given expression is as follows
f = ab'(c + d'e) + a'bc')
Finding complement using Demorgan's Theorem
f' = [ab'(c + d'e) + a'bc']'
f' = [ab'(c + d'e)]' [a'bc']'
f' = [a' + b + (c + d'e)'][a + b' + c]
f' = [a' + b + c'(d'e)'][a + b' + c]
f' = [a' + b + c'(d + e')][a + b' + c]
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