For the K$-$map shown below in Figure $2$: $($i$)$ Draw the k$-$map, mapping the $1$s to generate a simplified equation SOP for the function $($F$),$ and $($ii$)$ re$-$draw the k$-$map, this time mapping the $0$s to generate a simplified POS. $($iii$)$ simulate the circuit for both SOP and POS in Multisim, then $($iv$)$ simulate the circuits by adding NOT gate to the POS output and generating the truth tables for both. Verify the truth tables are the same.