2) In the 8-position rotary encoder below a grayed-out section is interpreted as logic zero and a white section is interpreted as logic one. The least significant bit of the encoder is in the outer ring whereas the most significant bit is in the inner ring. Obtain the truth table and the Boolean equations of a converter that provides the position in binary as indicated by the decimal number in the figure. Obtain the equations using Karnaugh maps. (15 marks)