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Lynbrook Computer Science

Explore the intricacies of digital electronics in this February 23, 2009, Lynbrook Computer Science announcement. Participate in the upcoming ACSL and USACO competitions scheduled for March. Learn about logic gates, Boolean algebra, and experiment with circuits. Engage in solving ordered triples that validate complex circuits and convert circuit operations into Boolean expressions. Delve into challenging tasks like finding alternative gates that maintain circuit truth conditions. Perfect for students looking to enhance their understanding of computer science concepts.

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Lynbrook Computer Science

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  1. Lynbrook Computer Science February 23, 2009

  2. Announcements • ACSL – March 9 • Digital Electronics – 2 • Graph Theory – 2 • Boolean Algebra – 1 • USACO – March 13-16

  3. Digital Electronics • Logic “Gates” • Just Boolean Algebra! AND NAND (NOT AND) OR NOR (NOT OR) XOR (Inequality) XNOR (NOT XOR) (Tests equality) NOT

  4. Try it out • Find all ordered triples that make this circuit true.

  5. Solution • Convert to boolean algebra: (A XOR B) XOR (B OR C) • Truth table: Evaluate each part individually

  6. More challenging • Find all gates (AND/OR/NAND/NOR/XOR/XNOR) that can replace the “X” such that only one tuple makes the circuit true.

  7. Solution

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