A recirculating shift register is a shift register that keeps the binary information

circulating through the register as clock pulses are applied.

i$.$ Draw the block diagram of $4-$bit recirculating shift register using JK flip flops.

$[5$ marks$]$

ii$.$ Assume that the recirculating register starts out with $1011$ stored in it$.$ List the

sequence of the states that the register flip flops go through as five shift

pulses are applied.

$[5$ marks$]$Design a synchronous counter that has the following sequence: $000,010,$

$101,110,$ and repeat. The undesired $($unused$)$ states $001,011,100,$ and $111$

must always go to $000$ on NEXT clock pulse.Briefly describe the cyclic redundancy check $($CRC$)$ process on sender and receiver

side.

$[4$ marks$]$