I select a number, randomly between 1 and 16. You are then allowed to ask me 7 questions, to which answer can be either "yes" or "no". Composite and conditioned questions are disallowed (as in "is my shirt red and is the number even" or "if the answer to the second question is yes, then is the number even, otherwise, is the number greater than 10"), and I'm allowed to lie at most one time. Come up with a strategy to find out the number.