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Circuits & Boolean Expressions
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Example # 1: Unsimplified Circuit
Develop a circuit and truth table from a Boolean expression Boolean Expression: X = A B C + A B C Simplify the Expression: X = A B C + A B C B C ( A + A ) B C ( 1 ) B C A ABC ABC+ABC ABC BC BC Unsimplified Circuit
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_ Example # 1: Unsimplified X = A B C + A B C Example # 1: Simplified
__ Example # 1: Simplified X = B C A B C X A B C X A B C _ A B C
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Example # 2 Develop a truth table and Boolean Expression from a circuit: A B C X 1 A A AB B ABC C C Boolean Expression: X = A B C + C Simplified: X = A B + C Rule: AB + C = A + C
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Develop a logic circuit and Boolean expression from a truth table
Example # 3: Develop a logic circuit and Boolean expression from a truth table Boolean Expression: X = A B C + A B C + A B C Simplify: A B ( C + C ) + A B C A B + A B C 1 A B C X A AB AB +ABC B AB ABC
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