Answers to Exercises

2.2: The integer 2 is the smallest integer that can serve as the basis for a number system. 2.3: Replacing 10 by 3 we get x = klog 2 3 ≈1.58k. A trit is therefore worth about 1.58 bits. 2.4: We assume an alphabet with two symbols a 1 and a 2, with probabilities P 1 and P 2, respectively. Since P 1 +P 2 = 1, the entropy of the alphabet is −P ... ................
................