In modulo 11 arithmetic, 6 is the multiplicative inverse of 2.
In modulo 12 arithmetic.
Is this question regarding modulo arithmetic?
32
An equivalence relationship is a relationship over the set of integers defined for as follows:For equivalence modulo n (n being a positive integer),a ~ b (mod n) n divides (a-b)This partitions the set of integers into n equivalence classes: {0, 1, 2, ... , n-1}.
You use modulo 16 arithmetic.
Any arithmetic process would work provided it is applied the same way in the forward and reverse process. Modulo 2 is easy to implement in hardware.
In modulo 11 arithmetic, 6 is the multiplicative inverse of 2.
Normally it does not. It only does if you are working with congruence numbers, modulo 12. That is a rather technical way of saying you are using "clock" arithmetic. There are other such examples: modulo 7 for days of the week modulo 2 for ON/OFF are another two that most people are familiar with, even if they don't know that they are using modulo arithmetic!
In modulo 12 arithmetic.
Is this question regarding modulo arithmetic?
7
32
An equivalence relationship is a relationship over the set of integers defined for as follows:For equivalence modulo n (n being a positive integer),a ~ b (mod n) n divides (a-b)This partitions the set of integers into n equivalence classes: {0, 1, 2, ... , n-1}.
It is mainly implemented in error detection and correction. It is used for performing modulo arithmetic.
Modulo 2 arithmetic is another word for base 2. In computer terms this is referred to as binary. Binary uses only 1's and 0's. Due to electrical limitations of only on and off, the 1 represents on and the off represents 0's. Each number is a called a bit and 8 bits make a byte. While 1024 bytes make a kilobyte and so fourth.
When you are working in modulo 12 arithmetic: for example, on a clock, or the months of a year.