"asendusseoaste" - 1 õppematerjal

Loogikaalgebra põhiseosed

x1 x2 x1 x2 x2 = x2 x2 = 1 x2 (x1 x2 )( x2 x3 )= (x1 x2 x2 x2 )( x2 x3 )= (x1 x2 x2 )( x2 x3 )= x2 ( x2 x3 )= x2 x2 x2 x3 = 0 x2 x3 = x2 x3 (x1 x2 )(x1 x3 x2 )= (x1 x2 x1 x2 )( x1 x3 x2 )= (x1 x2 x1 x2 )( x1 x3 x2 )= x1 x2 x1 x1 x2 x3 x1 x2 x2 x1 x2 x1 x1 x2 x3 x1 x2 x2 = x1 x2 x1 x2 x3 0 0 x1 x2 x3 x1 x2 = x1 x2 x1 x2 3.Lihtsustada etteantud loogikaavaldis DNK-ks põhiseoste ja tehete asendusseoaste abil: (x1x2x3x4 x3x4 x1x3 )(x1 x4 )(x1 x4 )= (x1x2x3x4 x3x4 x1x3 )(x1 x4 )(x1 x4 )= =(x1x2x3x4 x3x4 x1x3 )(0 x4x1 x1x4 0)= x3x4x1 x1x3x4 = x1x3x4 x1 x4 x3 (x1 x2)(x1x2 x4 )= x1 x4 x3 (x2 x1 )(x1 x2 x4 )= x1 x4 x3 x2x1 (x1 x2 x4 )= = x1 x4 x1 x2 x3 x1 x2 x2 x1 x2 x1 x1 x2 x1 x4 x4 x3 x4 x2 x4 x1 x4 =x1 x2 x4 x1 x2 x3 x3 x4 x2 x4 x1 x4 x1 x1 x2 ( x1 x3 ) x1 x1 x2 x3 x4 x1 = x1 ( x1 x3 ) x1 x1 x2 x3 x4 x1 = (x1 x1x1 x1 x3 x1 x2 x3 x4 ) x1 =