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Modular Equation Solver

Tool/solver to resolve a modular equation. A modular equation is a mathematical expression presented in the form of a congruence with at least one unknown variable.

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Modular Equation Solver - dCode

Tag(s) : Arithmetics

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Modular Equation Solver

Modular Equation Calculator

Solve Equations with Several Modulos

In the particular case of a single unknown with several equations with several modulos, there is the Chinese remainder theorem:

⮞ Go to: Chinese Remainder

Tool/solver to resolve a modular equation. A modular equation is a mathematical expression presented in the form of a congruence with at least one unknown variable.

Answers to Questions

What is a modular equation? (Definition)

A modular equation is an equation (or a system of equation, with at least one unknown variable) valid according to a linear congruence (modulo/modulus). With modulo, rather than talking about equality, it is customary to speak of congruence.

For several modulus equations system (non linear), this is a different calculation that can be solved with the calculator tool solving the Chinese remainders problem available on dCode.

How to solve a modular equation?

Enter the equation, the variables and the value of the modulo. The value of the modulo is global and applies to all equations.

Example: $$ x+12 \equiv 3 \mod 5 \Rightarrow x = 1 $$

The modular equation solver can not work with inequalities, only the equal sign is accepted to solve the equations.

How to solve multiple equations?

Enter one equation per line or separate them with operator &&.

How to write the congruence symbol ≡?

It is not necessary to write it ≡ (congruent) so that dCode can solve the equations, the equal sign = is enough.

Source code

dCode retains ownership of the online 'Modular Equation Solver' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script, copy-paste, or API access will be for free, same for Modular Equation Solver download for offline use on PC, tablet, iPhone or Android !