February 23, 2009. Announcements ACSL – March 9 Digital Electronics – 2 Graph Theory – 2 Boolean Algebra – 1 USACO – March 13-16.

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Presentation transcript:

February 23, 2009

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

Digital Electronics Logic “Gates” Just Boolean Algebra! ANDNAND (NOT AND) ORNOR (NOT OR) XOR (Inequality) XNOR (NOT XOR) (Tests equality) NOT

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

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

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.

Solution