Question

Прошу выручите! Пожалуйста!!!Решите! 1. (XvZvY)&(Xv¬YvZ)&(Xv¬Yv¬Z) 2. (Av¬B)vAvE&EvB 3. XvT&Y&Z&¬(XvT)

Answer 1

$1. (x+z+y)(x+overline y+z)(x+overline y+overline z)= \ (xx+xoverline y+xz+xz+overline yz+zz+xy+yoverline y+yz)(x+overline y+overline z)= \ (x+xoverline y+xz+overline yz+z+xy+0+yz)(x+overline y+overline z)= \ (x+x(overline y+y)+xz+overline yz+z+yz)(x+overline y+overline z)= \ (x+1+xz+overline yz+z+yz)(z+overline y+overline z)=z+overline y+overline z$

$2. (a+overline b)+a+ee+b=a+overline b+a+e+b=a+(overline b+b)+e=1$

$3. x+tyzcdotoverline {x+t}=z+tyz(overline x,overline t)=z+(toverline t)overline xyz=z+0=z$