#11 - EE200 DIGITAL LOGIC CIRCUIT DESIGN Class Notes CLASS...

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EE200(class 5-3) Prof. M.M. Dawoud 39 EE200 DIGITAL LOGIC CIRCUIT DESIGN Class Notes CLASS 5-3 The material covered in this class will be as follows: Simplification of Boolean functions using Karnaugh maps Two, three, and four Karnaugh maps. Karnaugh Map The map is a diagram mad up of squares, each small square represents a minterm. Any function is made up of minterms and can be represented on the map. Adjacents minterms can be combined to form simpler terms. Two Variable Map 0 m 1 2 3 y x 0 1 0 1 x y Two Variable Map 1 y x 0 1 0 1 x y 1 y x 0 1 0 1 x y 1 1 F = x.y F = x + y
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EE200(class 5-3) Prof. M.M. Dawoud 40 Three Variable Map Simplification Suppose a function of three variables x, y, z is given by: (0,1,6,7) F = . It is clear from the map that m 0 and m 1 are neibours. Also m 6 and m 7 . 01 m m xyz xy ′′′ ′′ += + = Similarly 67 m m xyz xyz xy + = This is shown in the map by the two groups of two minterms each. 0 m 1 2 3 x y 4 5 6 7 z 0 1 2 3 4 5 6 7 x yz 00 01 11 10 0 1 Three Variable Map x y z 1 1 1 1 1 0 m m + 7 6 m m +
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#11 - EE200 DIGITAL LOGIC CIRCUIT DESIGN Class Notes CLASS...

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