In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value So the point of modular arithmetic is to do our normal arithmetic …

I know how to solve mod using division i.e. $$11 \\mod 7 = 4$$ For this I did a simple division and took its remainder: i.e. $$11 = 7 \\cdot 1 + 4$$ Where $11$ was dividend, $7$ divisor, $1$ quotient...

Arithmetic could roughly be described as working with the numbers we know within a particular system of numbers, and is often related in some way to working with things called integers (whole numbers) …

arithmetic mean of a sequence converges Ask Question Asked 13 years ago Modified 5 years, 9 months ago

I am studying an undergraduate book of mathematical logic. After proving the two Gödel's theorems of incompleteness of formal theories, it asserts that some proofs of arithmetic's consistency exis...

Bill Gosper has invented an algorithm for performing analytic addition, subtraction, multiplication, and division using continued fractions. It requires keeping track of eight integers which are conceptually …

10 There is a standard model of arithmetic: any model of the Peano axioms + the second order axiom of induction. Any two such models are isomorphic (a fact known as the categoricity of the theory). The …

Yonatan: Most of the disagreement anyway is how to handle the case when the digit after the rounding digit is a 5; for the other digits, all seem to be in agreement. I guess the rules are application-dependent!

I'm trying to mentally summarize the names of the operands for basic operations. I've got this so far: Addition: Augend + Addend = Sum. Subtraction: Minuend - Subtrahend = Difference. Multiplicati...

There are two differing conventions on how to handle carry-in/out for subtraction. Intel x86 and M68k use a carry-in as "borrow" (1 means subtract 1 more) and adapt their carry-out to mean the same, …