1. The problem statement, all variables and given/known data Using only NOT and XOR, construct a compound statement having the same truth table as: (a) p OR q (b) p AND q 2. Relevant equations XOR is "exclusive OR." p XOR q = (p OR q) AND NOT (p AND q). I have been working under the assumption that I can use parentheses. 3. The attempt at a solution I know the truth tables for (p OR q) and (p AND q) are TTTF and TFFF, respectively. So, either three Trues and one false or one True and three Falses. However, when I use only NOT and XOR I always get two Trues and two Falses. So far this has been the case no matter which combination I try or how many XORs I string together. It's always some combination of two Trues and two Falses. Can anyone give me a hint? Thanks.