Given a four$-$bit shift$-$right register $(R_3{R}_2{R}_1{R}_0).$ Initially $R_3{R}_2{R}_1{R}_0=0011.$ Assume $R_2$ is connected to the serial input. What will the content of the register be after $3$ clock cycles

$($a$)0000$

$($b$)1001$

$($q$)0101$