Problem 5.
l(0) = 0, l(1) = 1.
First letter is a1:
Second letter is a1:
Third letter is a3:
Fourth letter is a2:
Fifth letter is a3:
Sixth letter is a1:
Therefore, a possible tag value is 0.0273.
Problem 6.
The tag decodes to the following sequence: a3 a2 a2 a1 a2 a1 a3 a2 a2 a3.
Problem 7.
(a) Total count = 100,
m = log2(Total_Count) + 2 = 7 + 2 = 9 bits.
(b) 00101011000111100. Note that the underlined bit patterns (i.e., EOS) is the lower limit of the final interval, l(7), you can transmit any value between l(7) and u(7). (c) Decoding of 001010110+EOS should give you abacabb.