A $4-$bit adder is to implement $2\text{'}$s complement arithmetic operations. Two bits are added to each input and output at the most significant position. Going from the least significant bit to the most significant bit with the least significant bit being bit # $1,$ bit # $5$ is used for over flow and the bit # $6$ is used for the sign of the number. A $\text{'}1\text{'}$ in bit # $6$ would mean that the number is negative and is in $2\text{'}$s complement form. A $\text{'}0\text{'}$ in bit # $6$ would mean that the is a positive number in standard binary form. If number $A=001001$ and number $B=111010,A+B$ will be equal to:

A$.$ None of the other choices are correct

B$.001111$

C$.110010$

D$.110001$

E$.000110$