Adbequipo6
- 1. EJERCICIOS DE ALGEBRA DE BOOLE 1- F= X¡¯Y¡¯Z¡¯ + X¡¯Y¡¯Z + X¡¯YZ¡¯+ XY¡¯Z¡¯ + XYZ¡¯ + XYZ X¡¯Y¡¯(Z¡¯ +Z) + XY(Z¡¯+Z) + Z(X¡¯Y+XY¡¯) X¡¯Y¡¯ + XY +Z(X¡¯Y+XY¡¯) 2- F = ABC + A¡¯B¡¯C¡¯ + A¡¯B¡¯C + A¡¯BC + AB¡¯C¡¯ + AB¡¯C A¡¯B¡¯(C¡¯+C) + BC(A¡¯+A) + AB¡¯(C¡¯+C) A¡¯B¡¯ + BC + AB¡¯ B¡¯(A¡¯+A) + BC B¡¯ + BC 3- F= (A+B )(A¡¯+C)C [AA¡¯ + AC + B A¡¯ + BC+.C ACC + A¡¯BC + BCC AC + A¡¯BC + BC AC + BC(A¡¯ + 1) AC + BC C(A +B) 4- F = Y(X+Y¡¯) + (X¡¯ + Z) Y*X.X¡¯ + XZ + Y¡¯X¡¯ + Y¡¯Z+ X¡¯XY + XYZ + X¡¯Y¡¯Y + Y¡¯YZ XYZ 5- F = X¡¯(X+Y) + Z¡¯ + ZY X¡¯X + X¡¯Y + Z¡¯ +ZY X¡¯Y + Z¡¯+ ZY Y(X¡¯ + Z) + Z¡¯ 6- F = A¡¯B¡¯ + A¡¯B + AB¡¯ +AB B¡¯(A¡¯ + A) + B(A¡¯ + A) (B¡¯ + B) 1
- 2. 7- F = (W + X¡¯W + YZ)¡¯ W¡¯.X.W¡¯. Y¡¯.Z¡¯ X.W¡¯.Y¡¯.Z¡¯ 8- F = W*(X +Y ) (Z + W¡¯)+¡¯ W¡¯ + (X +y)¡¯ + (Z+W¡¯)¡¯ APLICANDO D¡¯MORGAN AL 2DO TERMINO (X+Y)¡¯ = X¡¯.Y¡¯ APLICANDO D¡¯MORGAN AL 3ER TERMINO (Z + W¡¯)¡¯ = Z¡¯.W ENTOCES UNIENDO W¡¯ + X¡¯.Y¡¯ + Z¡¯.W W¡¯(1 + Z¡¯) + X¡¯Y¡¯ W¡¯ +X¡¯Y¡¯