Assume that a fixed-length binary code is to be used to represent each of the 26 characters in the English language. (a) Find the minimum number of bits per character that such code would have. (b) Compute the average number of bits per character of the Morse code (slide 24, lecture W2A). Use the frequency of each character as given in the Table below. (c) Compare the code from part (a) with the Morse code in terms of efficiency. Which one is more efficient and why? * The average number of bits per character is given by (a) 22f; L wherefi is the percent frequency of the i-th character (as in the Table), and L; is the length of the corresponding codeword. O Letter Frequency Letter Frequency e 12.7020% m 2.4060% t 9.0560% W 2.3600% 8.1670% f 2.2280% 7.5070% 2.0150% i 6.9660% y 1.9740% n 6.7490% p 1.9290% S 6.3270% b 1.4920% h 6.0940% v 0.9780% r 5.9870% k 0.7720% d 4.2530% j 0.1530% I 4.0250% X 0.1500% 2.7820% 9 0.0950% u 2.7580% Z 0.0740%) Assume that a fixed-length binary code is to be used to represent each of the 26 characters in the English language. (a) Find the minimum number of bits per character that such code would have. (b) Compute the average number of bits per character of the Morse code (slide 24, lecture W2A). Use the frequency of each character as given in the Table below. (c) Compare the code from part (a) with the Morse code in terms of efficiency. Which one is more efficient and why? * The average number of bits per character is given by (a) 22f; L wherefi is the percent frequency of the i-th character (as in the Table), and L; is the length of the corresponding codeword. O Letter Frequency Letter Frequency e 12.7020% m 2.4060% t 9.0560% W 2.3600% 8.1670% f 2.2280% 7.5070% 2.0150% i 6.9660% y 1.9740% n 6.7490% p 1.9290% S 6.3270% b 1.4920% h 6.0940% v 0.9780% r 5.9870% k 0.7720% d 4.2530% j 0.1530% I 4.0250% X 0.1500% 2.7820% 9 0.0950% u 2.7580% Z 0.0740%)