In base 3, 2 + 2 = 11. In base 4, 2 + 2 = 10. Bases >=5, 2 + 2 = 4. Bases <=2 the number two does not exist. Base 2 is binary (10 + 10 = 100).

The only way to change simple arithmetic is to change the meaning (definition) of the numbers or the definition of the arithemtic operation.