lecture12

# lecture12 - Logic Design Process adder Sum of the Product...

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Sum of the Product Each row of the truth table represents a product term Product term -- each row in which the output column is a 1 contributes a single ANDed term of input variables to the Boolean expressions If the column associated with variable X has a 0 in it, the expression X’ is part of the ANDed term., otherwise, X is part of the ANDed term Sum of the product Product terms are ORed together
Examples literal

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Truth Table Boolean Expression
From Truth Table to Minimized Boolean Expression OR

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2-Variable K-Map A B Y 2-variable Karnaugh maps are trivial but can be used to introduce the methods you need to learn. The map for a 2-input OR gate looks like this: A B Y 0 0 0 0 1 1 1 0 1 1 1 1 A B 0 1 0 1 1 1 1 B A A+B
Mapping from truth table to k-map

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3-Variable K-Map A B C Y 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 C A C A B + AB C 00 01 11 10 0 1 1 1 1 1 1 B
Mapping from truth table to k-map

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lecture12 - Logic Design Process adder Sum of the Product...

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