this is a bit long $,$ desgin a circuit using $15$ gates or less $,$ with $5$ inputs $($a$,$b$,$c$,$d$,$e$)$and $3$ outputs $($x$,$y$,$z$).$ output is equal to numbers of $1\text{'}$s in input in binary for exapmle input $10001,$ output is $010.$ another exapmle input $11111$ output is $101,$

whoever answers this please answer correctly $,$ ive uploaded it $5$ times and everytime theu answer it missing $,$ like saying we used $13$ gates then goes to draw only $6$ gates $,$ or leaving the last gate without inputs $,$ i beg you draw the full circuit by hand so i can unserstand it $,$