Let S be the set of all strings of $0$s and $1$s of length $4,$ and let A and B be the following subsets of S : A $=\backslash \{1000,1101,0100,0010\backslash \}$ B $=\backslash \{0011,0000,0010,0101\backslash \}$ Find each of the following: $($Enter your answers in set$-$roster notation.$)($a$)$ A $\backslash$cap B $=\backslash (\backslash$boxed$\{\backslash$phantom$\{$answer$\}\}\backslash )($b$)$ A $\backslash$cup B $=\backslash (\backslash$boxed$\{\backslash$phantom$\{$answer$\}\}\backslash )($c$)$ A $-$ B $=\backslash (\backslash$boxed$\{\backslash$phantom$\{$answer$\}\}\backslash )($d$)$ B $-$ A $=\backslash (\backslash$boxed$\{\backslash$phantom$\{$answer$\}\}\backslash )$