ANSWER
[tex] 10011_{2} \times 11_{2}= 111001_{2}[/tex]
EXPLANATION
We want to multiply:
[tex] 10011_{2} \times 11_{2}[/tex]
in base 2
One can choose to convert everything to base 10
This gives 19×3=57
We then convert 57 to base two to get
[tex]57 = 111001_{2}[/tex]
Or perform the multiplication in base 2 straight forward.
10011
× 11
10011
+10011
111001
------------
[tex]10011_{2} \times 11_{2} = 111001_{2}[/tex]