Design the following function using a $41$ multiplexer.

$F(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}m(0,1,4,6,7,8,10,12,14,15)$

Using Logisim, design a $2-$bit cubic function using a decoder and external circuitry. The function uses input bits and produces a binary output whose value is the cube of the inputs. For example, if the i value in decimal is $2,$ the output value in decimal is $8.$