Modular arithmetic | Computer arithmetic

Residue number system

A residue numeral system (RNS) is a numeral system representing integers by their values modulo several pairwise coprime integers called the moduli. This representation is allowed by the Chinese remainder theorem, which asserts that, if M is the product of the moduli, there is, in an interval of length M, exactly one integer having any given set of modular values. The arithmetic of a residue numeral system is also called multi-modular arithmetic. Multi-modular arithmetic is widely used for computation with large integers, typically in linear algebra, because it provides faster computation than with the usual numeral systems, even when the time for converting between numeral systems is taken into account. Other applications of multi-modular arithmetic include polynomial greatest common divisor, Gröbner basis computation and cryptography. (Wikipedia).

Video thumbnail

Convert Numbers in Base Ten to Different Bases: Remainder Method

This lessons explains how to write numbers in base ten as numbers in different bases. Site: http://mathispower4u.com

From playlist Historical Counting Systems

Video thumbnail

Number Systems Introduction - Decimal, Binary, Octal & Hexadecimal

This video provides a basic introduction into number systems such decimal, binary, octal and hexadecimal numbers: Full 30 Minute Video: https://www.youtube.com/watch?v=PlbH_t0akAA

From playlist Number Systems

Video thumbnail

Different Types of Numbers on the number line, lesson 1 #shorts

Watch the full playlist: https://www.youtube.com/watch?v=kcxK3_sROZA&list=PL14bv5vXK2WWuODhGbpPQA0GamV5ohOVb&index=1 Natural Numbers (N), (also called positive integers, counting numbers, or natural numbers); They are the numbers {1, 2, 3, 4, 5, …} Whole Numbers (W). This is the set of na

From playlist Celebrities Teach Math: The Number System

Video thumbnail

Number Theory | Quadratic Residues: Definition and Examples

From King's Landing, we give the definition of a quadratic residue modulo n as well as a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Number Theory

Video thumbnail

Math Basics: Decimals

In this video, you’ll learn more about decimals. Visit https://www.gcflearnfree.org/decimals/ for our interactive text-based tutorial. This video includes information on: • Reading decimals • Comparing decimals We hope you enjoy!

From playlist Math Basics

Video thumbnail

What is a Quadratic Residue? - Definition and Example

Quadratic residues are an important part of elementary number theory. Here we explain the definition of a quadratic residue mod p, go through an example of finding quadratic residues, and note one basic property. Quadratic Residues playlist: https://www.youtube.com/playlist?list=PLug5ZIRr

From playlist Quadratic Residues

Video thumbnail

What are Irrational Numbers? | Number System | Don't Memorise

Watch this video to know more about Rational numbers, Irrational Numbers, Real Numbers and Number System. To learn more about Irrational Numbers, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=CtRtXoT_

From playlist Irrational Numbers

Video thumbnail

Plot Whole Numbers on the Number Line

The video explains how to plot whole numbers on the number line. http://mathispower4u.com

From playlist Whole Numbers: Place Value and Writing Numbers

Video thumbnail

Euler's Theorem -- Number Theory 12

Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolp

From playlist Number Theory v2

Video thumbnail

Euler's Theorem Number Theory 12

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http

From playlist Number Theory

Video thumbnail

Euler's Totient Function Number Theory 13

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http

From playlist Number Theory

Video thumbnail

Euler's Totient Function -- Number Theory 13

Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolp

From playlist Number Theory v2

Video thumbnail

Number theory Full Course [A to Z]

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio

From playlist Number Theory

Video thumbnail

Quadratic Residues — Number Theory 22

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http

From playlist Number Theory

Video thumbnail

Quadratic Residues -- Number Theory 22

Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolp

From playlist Number Theory v2

Video thumbnail

Introduction to congruences

In this video we do introduce congruences. We first do some examples, then define congruences, and we do a few more examples. The content of this video corresponds to Section 4.1 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-

From playlist Number Theory and Geometry

Video thumbnail

Finding the rule for our sequence using multiplication and subtraction

👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence

From playlist Sequences

Video thumbnail

12b Geostatistics Course: Kriging

Lecture on kriging for spatial estimation.

From playlist Data Analytics and Geostatistics

Related pages

Covering system | Euclidean division | Reduced residue system | Chinese remainder theorem | Euclidean algorithm | Greatest common divisor | Automation and Remote Control | Linear algebra | Polynomial greatest common divisor | Integer | Modulo operation | Gröbner basis | Journal of Symbolic Computation | Numeral system | Modular arithmetic | Cryptography | Integer overflow | Multiplicative inverse