Addition and Subtraction
It is possible to add and subtract numbers in the quater-imaginary system. In doing this, there are two basic rules that have to be kept in mind:
- Whenever a number exceeds 3, subtract 4 and "carry" −1 two places to the left.
- Whenever a number drops below 0, add 4 and "carry" +1 two places to the left.
Or for short: "If you add four, carry +1. If you subtract four, carry -1". This is the opposite of normal long addition, in which a "carry" in the current column requires adding 1 to the next column to the left, and a "borrow" requires subtracting. In quater-imaginary arithmetic, a "carry" subtracts from the next-but-one column, and a "borrow" adds.
Read more about this topic: Quater-imaginary Base
Famous quotes containing the word addition:
“Depend upon it there comes a time when for every addition of knowledge you forget something that you knew before. It is of the highest importance, therefore, not to have useless facts elbowing out the useful ones.”
—Sir Arthur Conan Doyle (1859–1930)