4.6 - Boolean Function Decomposition and Factorization
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Practice Questions
Test your understanding with targeted questions
What does decomposition do to a Boolean function?
💡 Hint: Think about dividing a large task into smaller tasks.
Define factorization in the context of Boolean functions.
💡 Hint: Consider the meaning of factoring in math.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the goal of Boolean function decomposition?
💡 Hint: Think about the advantages of handling smaller tasks.
True or False: Factorization can help reduce the number of gates needed in a circuit.
💡 Hint: Consider how factors help in computations.
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Challenge Problems
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Given the Boolean function F(A, B, C) = A·B + A·C + B·C + A·B·C, demonstrate both decomposition and factorization.
💡 Hint: Look for common factors in both terms.
Create a function with at least three variables and execute both decomposition and factorization while explaining each step.
💡 Hint: Identify small sections that can be modified without impacting the whole.
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