$($PLEASE SHOW THE DECODER$/$WORK ON A PIECE OF PAPER NOT JUST TEXT AS THE WORK$)$

Using three $(3)$ of the illustrated decoders, build a $3-$to$-8,$ active$-$low enabled, active$-$high output Binary

Decoder. $(2\mathrm{.}5$ Points$)$

A $2-$to$-4$ active$-$high enabled, active$-$high output binary decoder.

Your decoder should have inputs x$,$y$,$z$,$ enable EN$^(\text{'}),$ and output lines $0,1,2,3,4,5,6,7$ :

x$,$y$,$z inputs select lines correctly connected, $(0\mathrm{.}5$ Points$)$

Eight output are ascending, top$-$to$-$bottom, $(0\mathrm{.}5$ Points$)$

Your decoder's active$-$low enable is be labeled EN$^(\text{'}),$ and $(0\mathrm{.}5$ Points$)$

You may assume you can access a low or high signal $(0$ or $1)$ as needed.

You have EXACTLY ONE NOT gate. Any solution using more than one will not be considered.