Please answer correctly. Also, please draw the line diagram, not simply state the answer. Do not use Chat GPT$.$

Construct a line diagram for the following composition of functions $gf$ and $fg.$ If the composition cannot be done, explain why it cannot be done. :

$f$:$\{0,1{\}}^2\{0,1{\}}^4$

$f(x)=,$ for example: $f(01)=0101$

$g$:$\{0,1{\}}^4\{0,1{\}}^2$