Design and construct a $3$ to $8$ decoder circuit using $2-$line$-$to$-4-$tine decoder and also other logic gates needed. Perform the following:

i$)$ Form the truth table for hisher order decoder $(3$ to $8$ decoder$)$

ii$)-$ Design higher order decoder using the given lower order decoder.

iii$)-$ Draw the logic diagram for higher order decoder using two lower order decoders

iv$)-$ Verify the truth table of $3$ to $8$ decoder $($higher order decoder$)$ by implementing the logic diagram with lower order decoder $(2$ to $4$ decoder$)$ and other necessary logic gate$($s$).$