Consider a convolutional code with R $=1=2,$ and octal generators $(5$; $7).$

Draw the tree diagram of the code.

Determine the code word associated to the information sequence $010101100,$ and the min$-$

imum bandwidth required in case of an information bit$-$rate equal to $10$ Mbit$/$sec$.$

Determine and draw the trellis diagram of the code.