Construct a circuit that will multiply two 8-bit signed binary integers in two's complement format, producing a 16-bit signed result. For this part of the assignment you may use any of the basic logic gates, multiplexers, flip-flops, registers, etc. available in Logisim or its standard libraries, but you may not use the multiplier from the Arithmetic library. Using a ROM from the Memory library is also not allowed. (Pre-computing results and storing them in a lookup table for later access is a legitimate design technique in some situations, but it would eliminate the main point of this assignment which is to understand the inner workings of arithmetic circuits.) Your multiplier may use all combinational logic, or a mix of combinational and sequential logic. When you have a completed implementation, test it by providing several pairs of numbers as inputs. Make sure you thoroughly exercise the circuit by using all combinations of positive and negative numbers, both large and small numbers, one or both operands equal to zero, etc. (This way there will be no surprises when I test your submitted circuit on my own machine.)