Give three dichotomous questions that will correctly identify an object’s cardinal or inter--cardinal orientation when answered.

For an object there are 8 possible directions . That's 3 bits worth of direction.Now the 3 dichotomous questions which correctly identify an object's cardinal or inter-cardinal orientation are as follow.

Any three questions each of which cuts the number of possible directions in half will do:

Explanation:

By mapping {No,Yes} to {0,1}, and concatenating the binary answers from left to right to create a number, and using that as an index into the list {E,NE,N,NW,W,SW,S,SE}, you can output the answer.

c: haven't lost any yet