base 5 is a positional numeral system with five as its base. It uses 5 different digits for representing numbers. The digits for base 5 could be 0, 1, 2, 3, and 4.
base 8 is a positional numeral system with eight as its base. It uses 8 different digits for representing numbers. The digits for base 8 could be 0, 1, 2, 3, 4, 5, 6, and 7.