Name the module detectNums: y is true whenever the input, a$,$ is the value $5,7,9,$ or $11.$ Your module should use a minimized SOP equation $($i$.$e$.,$ an assign statement$)$ to describe this function.$($i$)$ Write modules for each of the following basic gates: inverter, $2-$input AND gate, $2-$input OR gate. Name the modules: inv, and$2,$ and or$2,$ respectively.$($j$)$ Name the following module mux$2$: Write a structural module for a $2$:$1$ multiplexer using the modules you designed in part $($i$).$