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:
“But the best read naturalist who lends an entire and devout attention to truth, will see that there remains much to learn of his relation to the world, and that it is not to be learned by any addition or subtraction or other comparison of known quantities, but is arrived at by untaught sallies of the spirit, by a continual self-recovery, and by entire humility.”
—Ralph Waldo Emerson (1803–1882)