PROBLEM 3 (25 PTS) " A numeric keypad produces a 4-bit code as shown below. We want to design a logic circuit that converts each 4-bit code to a 7-segment code, where each segment is an LED: A LED is ON if it is given a logic '1'. A LED is OFF if it is given a logic 0'. Complete the truth table for each output (a, b, c, d, e, f,g). Provide the simplified expression for each output (a, b, c, d, e,f,g). Use Karnaugh maps for c, d, e, f,g and the Quine- McCluskey algorithm for a, b. Note: It is safe to assume that the codes 1100 to 1111 will not be produced by the keypad Value X Y Z Wa b cd e f g 2 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 7 H: 1 0 1 0 1 0 1 1 1 1 0 0 1 1 1 0