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ivanzaharov [21]
4 years ago
15

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

Advanced Placement (AP)
1 answer:
sergij07 [2.7K]4 years ago
8 0

Answer:

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:

  1. Does it have a component in a south direction, or is it due west?
  2. Is it one of {N,NW,S,SE}?
  3. Is it an inter-cardinal direction?

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.

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