**Answers to selected exercises**

CHAPTER 2, EXERCISE 5. There are 80 unlabelled families.

CHAPTER 2, EXERCISE 12. (i) Let *m* = *a*_{0} + 2*a*_{1} + … + 2^{d−1}*a _{d}*

(ii) If *n* is written in base 2, then doubling has the effect of shifting it one place to the left; so the terms added are exactly those occurring in the standard long multiplication done in base 2.

(iii) With these modifications, we replace 2^{i}*n* by , so that the final result ...

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