Consider a binary convolutional code speci$$ed by the generators $(1011,1101,1111).$

A$.$ Give the values of:

$($a$)$ The constraint length of the code.

$($b$)$ The rate of the code.

$($c$)$ The number of states at each time step of the trellis.

$($d$)$ The number of branches transitioning into each state.

$($e$)$ The number of branches transitioning out of each state.

$($f$)$ The number of expected parity bits on each branch.