Eukaryote: mitosis: : prokaryote: a. binary fissionb. buddingc. both binary fission and buddingd. none of the above

The process of cell division is different in prokaryotes and eukaryotes as prokaryotes have a primitive cell structure which is not membrane bound. In eukaryotes the process of cell division is termed as mitosis. In prokaryotic cells like a bacterial cell, the cell divides by a process called binary fission, where each cell is cleaved into two identical cells each with its own chromosomal set.  Budding is process of asexual reproduction and is different from cell division.

Therefore, the correct answer will be a. binary fission.