Math Problem Statement
F =( A * (B(Compliment))) + C (Compliment)) XOR ((A*B(compliment)CD(compliment)) XOR (B * D(compliment))
Solution
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Math Problem Analysis
Mathematical Concepts
Boolean Algebra
Logic Gates
XOR Operation
Boolean Expression Simplification
Formulas
F = (A ⋅ ¬B + ¬C) ⊕ (A ⋅ ¬B ⋅ C ⋅ ¬D) ⊕ (B ⋅ ¬D)
XOR (⊕) operation: A ⊕ B = (A ⋅ ¬B) + (¬A ⋅ B)
Theorems
De Morgan's Law
Associative Property of XOR
Distributive Property of AND and OR in Boolean Algebra
Suitable Grade Level
Undergraduate (Electrical Engineering or Computer Science)