$5-$ Let $x=(100110011001{)}_2$ and $Y=(111100001111{)}_2.$ Perform $x-Y$ and $Y-x$ in $2\text{'}$s complement $($Do NOT use subtraction with borrow, and do NOT convert to decimal$)$ if:

a$)x$ and $Y$ are unsigned

b$)x$ and $Y$ are signed

c$)$ Convert the results in a$)$ and b$)$ to decimal.