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Circuits & Boolean Expressions

Circuits & Boolean Expressions. 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. Example # 1:. Develop a circuit and truth table from a Boolean expression. ABC. BC. BC.

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Circuits & Boolean Expressions

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  1. Circuits & Boolean Expressions

  2. 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 Example # 1: Develop a circuit and truth table from a Boolean expression ABC BC BC Unsimplified Circuit

  3. Example # 1: Unsimplified X = A B C + A B C __ A B C X 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 A B C X 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 _ A B C Example # 1: Simplified X = B C A B C

  4. Example # 2 Boolean Expression: X = A B C + C Simplified: X = A B + C Rule: AB + C = A + C Develop a truth table and Boolean Expression from a circuit: A A AB B ABC C C

  5. Example # 3: 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 AB AB +ABC B AB ABC Develop a logic circuit and Boolean expression from a truth table A B C X 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0

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