So I have a dilemma that I have written about briefly in another post - Assessment question with calendar date
I thought maybe I could make things more clear by asking you guys the answer to this question.
You have a coordinate grid that is 75 x 75. Assuming that you encode the x and y coordinates as separate numbers, what is the minimum number of bits that you will need to encode a coordinate in that space?
Using the method of calculating the number of bits need for the 75 x axis, and the method of 75 y axis, each axis would need 7 bits, for a total of 14 bits.
However the minimum number of bits you need to encode the coordinate grid is 13 bits. As you only need 13 bits to encode (75*75) 5625 different possibilites/grid coordinates.
Any help on guiding my students on the methodology they should use? Am I seeing the above question incorrectly?