$8$ For the convolutional encoder shown in Fig. P$118,$ compute the output coded data when the

input data is $($The first input bit is the leftmost element of the x $=[10111].$ x row vector.$)$

R $=$ K $=3.2$

$3$

Modulo $2$ adders

Data x

Input

Commutator Convolutional code

Output

Three$-$stage shift register

S$1$ S$2$ S$3$

Figure P$118$