Binary fission in amoeba and budding in yeasts are identical in the mechanism. But the basic difference is
daughter cells in budding are smaller than those in fission
Budding in yeast starts with a small outgrowth on the cell surface of the yeast cell. This is followed by separation of daughter buds. The mechanism of division in binary fission and budding is same but the daughter cells produced in yeast budding are smaller compared to binary fission fragments or cells.