A combinational circuit whose output is equal to $1$ if the input is even and greater than one otherwise the output is $0.$ The expression for three inputs $(x,y,z)$ equals:

$f(x,y,z)=x{z}^{\text{'}}+y{z}^{\text{'}}$

$f(x,y,z)=y^{\text{'}}{z}^{\text{'}}+x{z}^{\text{'}}$

$f(x,y,z)=xz+yz$