4.6.1 - Decomposition
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Practice Questions
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Define decomposition in terms of Boolean functions.
💡 Hint: Think about how breaking down helps in optimization.
What is the primary goal of decomposition?
💡 Hint: Consider the benefits of simplification.
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Interactive Quizzes
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What is decomposition in Boolean algebra?
💡 Hint: Remember the goal of simplifying complexity.
True or False: Factorization is the same as decomposition.
💡 Hint: Compare their definitions.
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Challenge Problems
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Given the Boolean function F(X, Y, Z) = XY + XZ + YZ, detail the decomposition process and discuss the potential gate reductions.
💡 Hint: Consider where common expressions might allow for further simplification.
How would you approach optimizing a Boolean circuit represented by F(A, B, C, D) = A + A'(B + C) + B'C + D?
💡 Hint: Look for opportunities to collapse terms using both techniques.
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