Suppose we have a microcontroller with a $4-$bit architecture using $2\text{'}$s complement number representation. Our program status register is also $4$ bits and has the following flags: Zero, Negative, Carry, and Overflow. We have three $4-$bit numbers $x=5,Y=-3,$ and $W$ is the largest positive number we can represent.

What are $x,Y,$ and $W$ in $4-$bits?

a$.x=0101,Y=1101,W=1111$

b$.x=0101,Y=1101,W=0000$

c$.x=0101,Y=1101,W=0111$

d$.$ None of the above