store LSB after shift right - vhdl

Why not just create a wide shift register and tap off it accordingly. For example if i had a 4-bit input and I wanted to right shift and retain the LSB I would create a 5-bit shift register where bits [4:1] represent the result and [0] represents the LSB that was shifted out of the result. If you wanted to do this over and over then just keep shifting and pluck that bit [0] out.