Q

$1$

$($

$1$

$0$

$$points

$)$

: Design a combinational circuit with three inputs,

$$

$,$

$$

$$and

$$

$,$

$$and the

three outputs, A

$,$

$$B

$,$

$$and C

$.$

$$when the binary input is

$0$

$,$

$1$

$,$

$2$

$,$

$$or

$3$

$,$

$$the binary output is

one greater than the input. When the binary input is

$4$

$,$

$5$

$,$

$6$

$,$

$$or

$7$

$,$

$$the binary output is

one less than the input.