Digital Encoding Figure 1.7 c Exercise 1.9 Gray Codes. A continuous value that h
ID: 3884325 • Letter: D
Question
Digital Encoding
Figure 1.7 c
Exercise 1.9 Gray Codes. A continuous value that has been quantized into N states can be encoded into an n = ceiling(log2N) bit signal in which adjacent states differ at most one bit position. Show how the eight temperatures of Figure 1.7 c can be encoded into three bits in this manner. Make your encoding such that the encodings of 82F and 68F also differ in just one bit position.
00068 001 70 01072 011 74 100 76 101 78 110 80 111 82 000000068 0000001 70 0000011 0000111 0001111 76 78 80 82 72 74Explanation / Answer
These will be the encodings
000 001 011 010 110 111 101 100 68 70 72 74 76 78 80 82 respectively they differ by one bit