Design a bit$-$slice half$-$adder circuit using b and CarryIn as inputs. Use the following ALU

design procedure and extend this design to include this increment circuit. Note, you will

need to use a new multiplexor to multiplex the carry$-$outs.

$($a$)$ Show the final simplified circuit on the ALU diagram: it may be helpful to first

complete the following truth table. $(1$ point deduction for each mistake$/$error in the

diagram $)$

$($b$)$ Show the control and data table for the full $1-$bit slice ALU. A new control signal is

required. $(1$ point deduction for each mistake$/$error in the table $)$