Design an $8-$to$-3$ even$-$small priority encoder, which prioritizes first even$-$indexed inputs and then smaller$-$indexed inputs. For example, requests from inputs $1$ and $4$ will encode index $4,$ but requests from $1$ and $3$ will encode index $1.$ Hence, for the even$-$small priority encoder, the request from $0$ will have the highest priority, and the request from $7$ will have the lowest priority.

Implement your solution on Logisim and test I$/$O characteristics with $10$ test cases. Ensure test cases yield the expected outputs.Design an $8-$to$-3$ even$-$small priority encoder, which prioritizes first even$-$indexed inputs and then smaller$-$indexed inputs. For example, requests from inputs $1$ and $4$ will encode index $4,$ but requests from $1$ and $3$ will encode index $1.$ Hence, for the even$-$small priority encoder, the request from $0$ will have the highest priority, and the request from $7$ will have the lowest priority.

Implement your solution on Logisim and test I$/$O characteristics with $10$ test cases. Ensure test cases yield the expected outputs.