A $3-$line to $8-$line decoder is connected as shown, where x$,$ y$,$ and z are inputs $($z is the least significant input digit$)$ and F is an output. F $=1$ when

All $3$ inputs are logical $0$

$2$ out of $3$ inputs are logical $0$

None of the above

No input is logical $0$

$1$ out of $3$ inputs are logical $0$