| Developer: | Benjamin Burton (5) | ||
| Price: | $1.99 | ||
| Rankings: | 0 | ||
| Reviews: | 0 Write a Review | ||
| Lists: | 0 + 0 | ||
| Points: | 0 + 4 (5.0) ¡ | ||
| Mac App Store | |||
Description
- follows the order convention;
- supports arbitrarily large numbers;
- performs fast modular division and exponentiation;
- can show a full transcript of your calculation.
Modular arithmetic is a "calculus of remainders". It features throughout mathematics and computer science, and has applications from cryptography to barcodes to music.
The basic idea is that you choose a modulus N, and then reduce every number to one of the integers 0,1,2,...,N−1 according to what remainder it leaves when dividing by N.
For example, using a modulus of 17:
40 ≡ 6 (since 40 ÷ 17 leaves a remainder of 6);
17 ≡ 0 (since 17 ÷ 17 leaves no remainder at all).
Arithmetic follows these same rules. Still using a modulus of 17:
15 + 7 ≡ 5 (since 22 ≡ 5);
3 × 9 ≡ 10 (since 27 ≡ 10);
5 ^ 3 ≡ 6 (since 125 ≡ 6).
Subtraction and division behave in a way that complements addition and multiplication:
−1 ≡ 16 (since 16 + 1 = 17 ≡ 0);
1/2 ≡ 9 (since 9 × 2 = 18 ≡ 1);
4 - 7 ≡ 14 (since 14 + 7 = 21 ≡ 4);
7 ÷ 3 = 8 (since 8 × 3 = 24 ≡ 7).
There are no negative numbers or fractions: like −1 and 7 ÷ 3 in the examples above, these are also reduced to one of 0,1,...,N−1.
As usual, you cannot divide by zero. You also cannot divide if the right hand side has any common factors with the modulus. If we change our modulus to 10, then the following operations all generate errors:
3 ÷ 20 (since 20 ≡ 0);
7 ÷ 8 (since 8 and 10 have a common factor of 2).
Integers can be arbitrarily large. For instance, if we set our modulus to 2305843009213693951 (a Mersenne prime), then:
5 ^ 2305843009213693950 ≡ 1 (by Fermat's little theorem).
The code is written carefully, and is backed up by a thorough suite of 186 automated tests.
This app supports external keyboards, Siri Shortcuts, and (on iPad) Slide Over, Split View, and multiple windows.
Screenshots
Price
- Today: $1.99
- Minimum: $1.99
- Maximum: $1.99
Track prices
Developer
- Benjamin Burton
- Platforms: iOS Apps (3) macOS Apps (2)
- Lists: 1 + 0
- Points: 0 + 57 ¡
- Rankings: 0
- Reviews: 0
- Discounts: 0
- Videos: 0
- RSS: Subscribe
Points
Not found ☹️
Rankings
Not found ☹️
Lists
Not found ☹️
Reviews
Be the first to review 🌟
Additional Information
- Version: 4.1
- ID: edu.self.Modular-Arithmetic
- Category:
macOS Apps›Education - OS:
iPad,iPhone,macOS,macOS 12.0 and up - Size:
2 Mb - Supported Languages:
English - Content Rating:
4+ - Mac App Store Rating:
5.0(4) - Updated:
- Release Date:
«Modular Arithmetic» is a Education app for macOS, developed by «Benjamin Burton». It was first released on and last updated on . The lowest historical price was $1.99, and the highest was $1.99. This app has not yet received any ratings or reviews on AppAgg. On Mac App Store, the current store rating is 5.0 based on 4 votes. Available languages: English. AppAgg continuously tracks the price history, ratings, and user feedback for «Modular Arithmetic». Subscribe to this app or follow its RSS feed to get notified about future discounts or updates.
You may also like
-
- Mental Math - Arithmetic Quiz
- macOS Apps: Education By: Fly Your Vision B.V.
- Free
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 0 Version: 1.3 Improve your mental calculation skills fast. Practice with many different exercises and see your progress over time. Useful for all ages and levels. Featured by Apple: "Raise your ... ⥯
-
- Geometry Pad
- macOS Apps: Education By: Bytes Arithmetic LLC
- $6.99
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 0 Version: 2.12.3 Geometry Pad is a dynamic geometry application, a great companion for teaching and learning geometry. With Geometry Pad you can create fundamental geometric shapes, explore and change ... ⥯
-
- Photo Math AI Problem Solver
- macOS Apps: Education By: RLAM FZCO
- Free
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 1 + 13,217 (4.4) Version: 3.1 MathBox Instantly Solve & Learn Any Math Problem MathBox is your personal AI math tutor. Just take a photo of any math problem typed or handwritten and get instant, step-by-step ... ⥯
-
- Taculator Graphing Calculator
- macOS Apps: Education By: Di Venisco UG (haftungsbeschrankt)
- Free
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 7,353 (4.5) Version: 1.3.3 TACULATOR GRAPHING CALCULATOR Your graphing calculator for high school and college students. Includes all the commands and functions for advanced math, list, statistics, distribution, ... ⥯
-
- Mental Math Practice & Games
- macOS Apps: Education By: Jeff Holliday Software
- Free
- Lists: 1 + 0 Rankings: 0 Reviews: 0
- Points: 8 + 21 (4.9) Version: 2.0.8 Mental Math Practice & Games is the ultimate math practice app designed to boost your math skills through engaging, addictive timed gameplay! Whether you're a young student just ... ⥯
-
- Owlet: GlowGrid
- macOS Apps: Education By: BirdBrain Technologies LLC
- Free
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 1 (5.0) Version: 2.0 Owlet: GlowGrid is one of a series of apps that use the Owlet GlowBoard manipulative. The specific focus of GlowGrid is using the GlowBoard to understand arithmetic operations like ... ⥯
-
- FracEx Calc
- macOS Apps: Education By: Hans-Henning Kruse
- $0.99
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 0 Version: 1.1.0 First English description / Deutsche Beschreibung folgt nach der Englischen. FracEx Calc is the ultimate solution for calculations of expressions with or without fractions. The App ... ⥯
-
- GRE Math Review - Super Edition
- macOS Apps: Education By: Webrich Software Limited
- $4.99
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 0 Version: 1.1 Most comprehensive GRE Math App with over 1400 questions with solutions and 140 revision notes covering all math subjects which include: 1. Algebra Review 2. Geometry Review 3. Data ... ⥯
-
- Digit Matrix - Math Puzzles
- macOS Apps: Education By: 振华 许
- Free
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 0 Version: 3.0 Digit Matrix is a collection of interesting mathematics exercises. This APP can improve the ability of calculation and logical reasoning, and cultivate mathematical thinking. It ... ⥯
-
- Fractions & Shapes
- macOS Apps: Education By: Magiwise
- $3.99
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 0 Version: 6.5 Welcome to the enchanting world of 'Fractions and Shapes', a magical app specially designed for children aged 7 and above who wish to master the mysterious realm of fractions and ... ⥯
-
- eyeMath School Edition
- macOS Apps: Education By: fishdog.net
- $1.99
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 2 (3.0) Version: 2.2.0 eyeMath School Edition is a colorful, exciting 3-minute drill for kids learning their arithmetic facts. Students move numbers into position to solve more and more challenging ... ⥯
-
- Heroes of Math and Magic
- macOS Apps: Education By: Bristar
- * Free
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 0 Version: 1.240 Hello Friend! With sadness, we inform you that the fairy world of Mathmagic has been captured by monsters... We are counting on you because only you, with your knowledge and ... ⥯
-
- Math Multiverse
- macOS Apps: Education By: Anna JOHNSTON
- Free
- Lists: 0 + 0 Rankings: 0 Reviews: 0
- Points: 0 + 0 Version: 1.1 Math Multiverse is an RPN calculator to explore alternate math universes (i.e., algebraic fields). There are six types of structures to explore: integers (Z), modular integers (Z/mZ), ... ⥯
-
- Math Trainer - Quick Questions
- macOS Apps: Education By: Rob Sammons
- * Free
- Lists: 1 + 0 Rankings: 0 Reviews: 0
- Points: 3 + 14 (4.5) Version: 8.2 Math Trainer, a quick and easy way to improve your mental arithmetic. Add, Subtract, Divide and Multiply through quick fire questions with four difficulties. Features: Difficulty - ... ⥯