Problem 3 (25 points) 1.What is the difference between an encoder and a priority encoder? 2. Design a 4 to 2 priority encoder. The inputs are A, B, C and D. The outputs are X and Y. Let the codes be equivalent to 0, 1, 2 and 3 in order from highest to lowest priority. Input A has the highest priority followed by C then D then B. Show the following a. A symbolic representation of this priority encoder with a label that indicates the number of inputs and outputs and arrows showing the inputs and the outputs. b. A condensed truth table for this priority encoder e. A full truth table for this priority encoder (i.e. replace the X values)