According to Wikipedia, Carl Friedrich Gauss invented it. Quote Wikipedia,
"Modular arithmetic was introduced by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801."
A mathematician.
who discovered in arithmetic series
He discovered unicorns!
Archimedes
I did
In ordinary arithmetic, the resulting value will be from an infinite set of values but in case modular arithmetic, resulting value will be from a finite set of values.Open in Google Docs ViewerOpen link in new tabOpen link in new windowOpen link in new incognito windowDownload fileCopy link addressEdit PDF File on PDFescape.come.g. in ordinary arithmetic, the sum of two integers, the result will be an integer in the range {..., -3, -2, -1, 0, 1, 2, 3, ...}for modular arithmetic, the sum of two integerslike (a+b)mod n will be in the range {0, 1, 2, ... n-1}
Yes, because that is how remainder is defined. If the remainder was bigger, you would subtract one (or more) modular values until the remainder became smaller than the modulus.
The arithmetic logic unit or ALU performs arithmetic, logic, and integer operations. ALU was created by mathematician John von Neumann in 1945.
mathematician Euclid
Pathagarist
Arithmetic progression was invented and discovered by two different mathematicians and scientists. Their names were Harvey Dubner and Tony Forbes.
Modular arithmetic operates within a finite set of integers, where numbers wrap around upon reaching a specified modulus, effectively creating a cyclical structure. In contrast, real numbers include all rational and irrational values, extending infinitely in both positive and negative directions without any modulus constraints. While modular arithmetic focuses on equivalence classes of numbers under a specific modulus, real numbers provide a continuous scale for measurement and calculation. Additionally, operations in modular arithmetic can yield different results than those in the real number system due to the wrap-around effect inherent in its structure.