A 2-bit input digital multiplier is to be designed. The circuit will accept two binary numbers (with 00, 01, 10, and 11 being possible combinations) and calculate their multiplication, which might take the value 0, 1, 2, 3, 4, 6, or 9. You are provided with a template circuit mul2bit.dig which incorporates a sub circuit named core.dig, as shown in Fig. 1. Your design will be implemented in this sub circuit, and will contain 1. Exactly one 3-bit adder, 2. Appropriate number of 2-input AND gates. 8-8-8 = = 00 core core Fig. 1: Template for the 2-bit muliplier (left), sample run (right). Submit: 1. Your core.dig file with the functional circuit. 2. A screenshot of the designed circuit (i.e., core.dig). Make sure that you submit exactly two files. You may assign an arbitrary name to the screenshot image. The template for core.dig has its outputs tied to "0" (to avoid an error); do not to forget to remove this part when drawing your design.