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2 cards from this section. Quick, good the night before a test.
Define decomposition in terms of Boolean functions.
Think about how breaking down helps in optimization.
What is the primary goal of decomposition?
Consider the benefits of simplification.
What is decomposition in Boolean algebra?
Remember the goal of simplifying complexity.
True or False: Factorization is the same as decomposition.
Compare their definitions.
Given the Boolean function F(X, Y, Z) = XY + XZ + YZ, detail the decomposition process and discuss the potential gate reductions.
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?
Look for opportunities to collapse terms using both techniques.
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