2. Assume that A consists of 2 bits, ajao, and B consists of 2 bits, bibo. Consider the following logic functions. [25 points] {1 if A > B, where A and B are unsigned binary numbers f(A,B) = {o otherwise 9(A,B) = {o otherwise 11 if A 0, where A and B are signed binary numbers (Two's complement) a ao mi m3 m4 (a) Fill the following truth table to represent the two functions f and g. Input Output Minterms B bi f bo 0 0 0 0 mo 0 0 0 1 0 0 1 0 m2 0 0 1 1 0 1 0 0 0 1 0 1 ms 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 m2 1 1 0 1 1 0 1 1 1 1 mo m7 ms mg mio m11 mi3 mis (b) Represent the three functions f and g as logical equations. You may use minterms. (c) Use the following K-map to reduce the functions f and g into a simplified format. (K- map for 4 variables is given in the next page) (d) Desing the logic circuit to implement the functions f and g using a PLA and a ROM