Sample Problem 6 (maybe 20 to 30 points) Design a digital circuit whose output is 'l' if a 2-bit unsigned binary number A (= A:Ao) is less than another 2-bit unsigned binary number B (= B_Bo) and is 'O' otherwise. The inputs to your circuits are A and B (which means A1, A, B1, Bo ) and the output is G. Examples of how the circuit behaves: Gis 'l' if A: Ao = '00' and B,Bo = '01'. G is 'O' if AzAo = '11' and BiBo = '10'. Provide your answer in two forms: (i) a Boolean expression (the simplified expression), (ii) a circuit implementation