Draw a Karnaugh map of the following function

($($A,$,$ B,$,$ C,$,$D)=(3,6,9,12,15).$)=(3,6,9,12,15).$

($($i)$)$ Use the map to write the function in its sum−$-$of−$-$products form.

($($ii)$)$ You are allowed to convert a number of the 0$0$ outputs to don$$t care states so that the

function can be implemented as =+.$=+.$ Write down the don$$t care states that are

needed.