2. For Z-ordering curve, with 16 16 pixels (or cells), please use the bit-shuffling method to find the mappings between cell locations and Z-values below. [20 points]

2a. Please illustrate how to calculate the Z-value for the cell with the 2D location (6, 15) [note: cell locations start from 0 on each dimension]. [10 points]

2b. Given a Z-value 101 (decimal number), please identify the 2D location of the cell corresponding to this Z-value. [10 points]