Homework Set 3

Due: Feb 23 at the beginning of class (a Wednesday, because of President's day)

Collaboration in groups is ok, even encouraged. However, each of you must turn in a separate writeup. (But please do indicate with whom you collaborated to make life easier for the grader.)

Section 1.6: 9b is a tautology. Prove it by equivalences, do not use truth tables.

Section 2.1: 14a (do formally) (tricky, save for last) (Hint: write as ((2^k)^2-1^2), read the Wikipedia article about Mersenne Primes for more)

Section 2.2: 3bdf, 4a, 17, 19.

Section 2.3: 4a, 8b, 13.