Simplify each of the following expressions using only the
Chapter 3, Problem 3.21(choose chapter or problem)
Simplify each of the following expressions using only the consensus theorem (or its dual):
(a) \(B C^{\prime} D^{\prime}+A B C^{\prime}+A C^{\prime} D+A B^{\prime} D+A^{\prime} B D^{\prime}\) (reduce to three terms)
(b) \(W^{\prime} Y^{\prime}+W Y Z+X Y^{\prime} Z+W X^{\prime} Y\) (reduce to three terms)
(c) \((B+C+D)(A+B+C)\left(A^{\prime}+C+D\right)\left(B^{\prime}+C^{\prime}+D^{\prime}\right)\)
(d) \(W^{\prime} X Y+W X Z+W Y^{\prime} Z+W^{\prime} Z^{\prime}\)
(e) \(A^{\prime} B C^{\prime}+B C^{\prime} D^{\prime}+A^{\prime} C D+B^{\prime} C D+A^{\prime} B D\)
(f) \((A+B+C)\left(B+C^{\prime}+D\right)(A+B+D)\left(A^{\prime}+B^{\prime}+D^{\prime}\right)\)
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