Having designed a binary adder, you are now ready to design a $2-$bit by $2-$bit unsigned$$binary multiplier. The multiplier takes two $2-$bit inputs A$[1$:$0]$ and B$[1$:$0]$ and produces an$$output Y$,$ which is the product of A and B$.$ The standard notation for this is:$$Y $=$ A$[1$:$0]$ B$[1$:$0]$