You have a coordinate grid that is 96 x 96. what is the minimum number of bits that you will need to encode a coordinate in that space?

The coordinate grid is 96 x 96. This means that there are 96*96=96^2 squares. In order to find the number of bits we should solve the problem: 2^X>96^2

2^X>=9216

We should solve the problem by testing several options:

2^10=1024 <9216 so we need more than 10 bits to encode a coordinate in that space

2^12=4096 <9216 so we need more than 12 bits to encode a coordinate in that space

2^14=16384 > 9216 so we need minimum 14 bits to encode a coordinate in that space