This post covers simple math division using Opposite Values and Counters in R1.
Rotation Division Table.
The table shows the result of division by 1^ and 1v.
/ | 1^ | 1v |
1^ | 1^ | 1v |
1v | 1v | 1^ |
Simple Division with R1 Opposite Values
- 1^/0 – undefined
- 1v/0 – undefined
As in classical numbers, you cannot divide by 0.
- 6^/3^ = 2^
- 6v/3^ = 2v
- 6^/3v = 2v and 3v/6^ = 1/2v
- This shows that division is not commutative.
- (24^/8v)/2v = 3v/2v = 3/2^
- 24^/(8v/2v) = 24^/4^ = 6^
- This shows that division is not associative.
- (11^ + 5v)/(2^ + 5v) = 6^/3v = 2v
A flip sign in front of an Opposite Value means that the Opposite Sign should be changed to the other Opposite Sign before division
- 6^/–3v = 6^/3^ = 2^
- –6^/–3v = 6v/3^ = 2v = 6^/3v
- Two flips cancel each other out
Simple Division with R1 Counters
- 6v/3 = 2v
- 6/3 = 2
- Division of two counters can only happen when associated with a term or an Opposite Value.
- 6^/–3 = 2v
- Flipping by the Operator is possible in division. In other words, flipping by the Operator implies the result is flipped.
- –6^/–3 = 6v/–3 = 2^ = 6^/3
- Two flips cancel each other out
Conclusion
Try these examples of simple R1 division with our online calculator.
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