Question

given x = [101011110]  and y = [110101001] find xoy and x ^ y

Answer 1

Taking into account that $0\oplus 0=0,\ 0\oplus 1=1,\ 1\oplus 0=1,\ 1\oplus 1=0$ and $0\land 0=0,\ 0\land 1=0,\ 1\land 0=0,\ 1\land 1=1$, and using component-wise operations to $x$ and $y$, we conclude that

$x\oplus y=[101011110]\oplus [110101001]=[011110111]$ and $x\land y=[101011110]\land [110101001]=[100001000]$