Question

Упростите (x*!y)+(x*y*z)+(x*!y*z)+(x*!y+!z)

Answer 1

$displaystyle (xoverline y)+(xyz)+(xoverline yz)+(xoverline y+overline z)=xoverline y+xyz+xoverline yz+xoverline y+overline z=\xoverline y(1+z+1)+xyz+overline z=xoverline y+xyz+overline z=x(overline y+yz)+overline z=\x(overline y+z)+overline z=xoverline y+xz+overline z=xoverline y+(xz+overline z)=xoverline y+x+overline z=\ x(overline y+1)+overline z=x+overline z$