The multiplexer circuit elaborates the overflow $($V$)$ condition for both shift operations of $4-$bit inputs. To the data inputs of the left$-$hand multiplexer, the value $0$ or $1$ can be provided. What signals should be provided to the control inputs of the lefthand multiplexer and of the right$-$hand multiplexer?

msb $x?y?z?$

left$/$right shift $$

cyclic$/$not cyclic shift $$

arithmetic shift$/$other shifts

shift through $\frac{C}{?}$ not through $$

incoming carry $CO$

incoming bit b$0$

incoming bit b$1$

incoming bit b$2$

incoming bit b$3$