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