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Published byPaulina Sheila Gordon Modified over 6 years ago

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Digital Logic Gates

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Sum of Products (Review) Procedure: 1.Form a minterm for each combination of the variables that produces a 1 2.OR all the minterms.

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Three-Terminal AND Gate F2ABC 0000 0001 0010 0011 0100 0101 0110 1111

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Application of Sum of Products

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Digital Logic Gates

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2-Input AND Gate NAND INV NAND INV

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2-Input OR Gate NOR INV NOR INV

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Universal Gates NAND and NOR are easier to build than AND and OR NAND and NOR are used to implement AND and OR gates

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NAND/NOR

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NAND-Based OR Gate

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NOR-Based NAND Gate

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XOR/XNOR F=1 when x≠y F=1 when x=y

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Application of an XOR Gate

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Use a XOR to Generate Pseudo- Random Numbers Reference: http://en.wikipedia.org/wiki/Linear_feedback_shift_registerhttp://en.wikipedia.org/wiki/Linear_feedback_shift_register

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logic.ly/demo

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Circuit Simplification Example

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Solution Factoring—the first & third terms above have AC in common, which can be factored out: Since B + B = 1, then… z = A(C + B)

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Topics for Quiz 1 Date: 3/8/2012 – In class – No Make-Up Number Conversion Arithmetic Operations Complements Signed Binary Numbers Addition/Subtraction Boolean Algebra Logic Gates Sum of Products Circuit Simplifications

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Example 1

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Example 2

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