Draw a digital circuit $($using only decoder, OR gates and encoder$)$ that receive $3$ bit number X$2$ X$1$ X$0$ and output $2$ bit number Y$1$ Y$0$

where Y$1$ Y$0$ equal the number of zeros in X$2$ X$1$ X$0$

for example if X$2$ X$1$ X$0=111$ then Y$1$ Y$0=00$

and IF X$2$ X$1$ X$0=100$ then Y$1$ Y$0=10$