(Solved): Consider the following Convolutional code encoder, where the initial value of all memory registers ...

Consider the following Convolutional code encoder, where the initial value of all memory registers is zero. Which of the following is the correct sequence of states \( (S 1, S 2) \) after you feed it in the input 111? Note, for \( (a b) \rightarrow(c d)->( \) ef \( ) \), the state \( (a b)=(S 1, S 2) \) is the state after the first bit is fed into the encoder, and \( (c d)=(S 1, S 2) \) corresponds to the state after the second bit is fed into the encoder and so forth. Select one: a. \( (10) \rightarrow(11) \rightarrow(11) \) b. \( (10) \rightarrow(01) \rightarrow(11) \) c. \( (00)->(01)->(11) \) d. \( (10) \rightarrow(11) \rightarrow(00) \) e. \( (00)->(11)->(11) \)