Please show in logic works:

Design a four$-$bit function unit that has two four$-$bit operand inputs, A and B$.$

There is an additional single$-$bit data input C$0$ which is the carry$-$in for the least

significant bit. Do not be confused, the C$0$ input is a data input not a control input. The

unit will require control inputs to select the desired operation.

There are two sets of outputs each four$-$bits. The first set is the result operand D$,$

which is the result of the operation on the input data. The second set is the status flags

consisting of the carry $($C$),$ overflow $($V$),$ sign $($N$),$ and the zero $($Z$)$ flags. Definitions are

as follows:

Carry $$ will be set if the operation was any type of addition and a carry from the

most significant bit was generated, if the operation is any type of subtraction and

a borrow was required, or if the bit shifted out from a shift operation was one.

Overflow $$ will be set if the result of the arithmetic operation is invalid when the

input operands are considered as signed integers.

Sign $$ will be set if the output of the function unit would be negative when

interpreted as a signed value.

Zero $$ will be set if the output of the function unit is identically zero. $($Do not

consider the carry bit as part of the result.$)$

For the logic functions the carry and overflow will be do not care because they are not

involved in the operation. Think about the meaning of the status flags and if there is any

uncertainty in implementation ask for clarification.

For the shift operations, the vacated bit will be set to zero. The bit shifted off the

end of the input operand will be sent to the carry status flag.