This problem concerns wind measurements made by the wireless weather station in Example 1-1. The wind direction is to be measured with a disk encoder like the one shown in Figure 1-6(b). (a) Assuming that the code 000 corresponds to N, list the Gray code values for each of the directions, S, E, W, NW, NE, SW, and SE. (b) Explain why the Gray code you have assigned avoids the reporting of major errors in wind direction. 100 000 101 001 G2 111 G, 011 110 010 (b) Gray code for positions 0 through 7