Using Logisim, design a $2$ bit multiplier.

You should have two $2-$bit inputs and $4$ output bits. The logic required to calculate each bit is on the website. Come and see me if you have problems. You must build your circuit out of logic gates, you cannot use the adder circuits already built. Your assignment must be turned in as a separate $.$circ file along with your word file or pdf for the other problems.

To verify your output, your input$/$output table should look like this:

A$1$ A$0$ B$1$ B$0$ D$3$ D$2$ D$1$ D$0$ Total