In addition to an $8-$bit result a function unit also outputs four status bits $($V$,$ C$,$ N$,$ Z$),$ defined as follows.

V: Overflow. This bit should be set to $1$ when there is an overflow for an operation; otherwise the bit should be $0.$ Assume the operands are in two's complement representation.

C: Carry out. This bit should be set to $1$ when there is a Carry out from the most significant bit of the result of an operation; otherwise the bit should be $0.$

N: Negative. This bit should be set to $1$ when the result of an operation is negative; otherwise the bit should be $0.$ Assume the result is in two's complement representation.

Z: Zero. This bit should be set to $1$ when the result of an operation is equal to zero; otherwise the bit should be $0.$

Determine the correct status bit output for each of the following operations.

$01101101+01001011$