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Digital Logic Circuits         13

MAP SIMPLIFICATION

                         Rule: xy’ +xy = x(y+y
Adjacent cells

- binary identifications are differen
 → minterms associated with the
     cells have one variable compl

Cells (1,0) and (1,1) are adjacent
Minterms for (1,0) and (1,1) are

     x • y’ --> x=1, y=0
     x • y --> x=1, y=1

F = xy’+ xy can be reduced to F =

From the map             y  0  1
                        x

                        00 0

                        11 1

                        F(x,y) = 
                               = xy
                               =x

Computer Organization
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