Discrete Math Calculators: (45) lessons

Free Affine Cipher Calculator - Builds the Affine Cipher Translation Algorithm from a string given an a and b value

Free Automorphic Number Calculator - This calculator determines the nth automorphic number

Free Boolean Algebra Multiplication Calculator - Determines the product of two expressions using boolean algebra.

Free Chinese Remainder Theorem Calculator - Given a set of modulo equations in the form:
x ≡ a mod b
x ≡ c mod d
x ≡ e mod f

the calculator will use the Chinese Remainder Theorem to find the lowest possible solution for x in each modulus equation.
Given that the ni portions are not pairwise coprime and you entered two modulo equations, then the calculator will attempt to solve using the Method of Successive Subsitution

Free Collatz Conjecture Calculator - Takes any natural number using the Collatz Conjecture and reduces it down to 1.

Free Composite Number Calculator - This calculator determines the nth composite number. Helps you generate composite numbers.

Free Congruence Modulo n Calculator - Given a possible congruence relation a ≡ b (mod n), this determines if the relation holds true (b is congruent to c modulo n).

Free Cross Partitions Calculator - Given a set of partitions, this determines the cross partitions.

Free Decagonal Number Calculator - This calculator determines the nth decagonal number

Free Derangements - Subfactorials Calculator - Calculates the number of derangements/subfactorial !n.

Free Digit Problems Calculator - Determines how many (n) digit numbers can be formed based on a variety of criteria.

Free Diophantine Equations Calculator - Solves for ax + by = c using integer solutions if they exist

Free Euclids Algorithm and Euclids Extended Algorithm Calculator - Given 2 numbers a and b, this calculates the following
1) The Greatest Common Divisor (GCD) using Euclids Algorithm
2) x and y in Bézouts Identity ax + by = d using Euclids Extended Algorithm Extended Euclidean Algorithm

Free Eulers Totient (φ) Calculator - Given a positive integer (n), this calculates Euler's totient, also known as φ

Free Fermats Little Theorem Calculator - For any integer a and a prime number p, this demonstrates Fermats Little Theorem.

Free Finite Field Calculator - Demonstrates the addition table and multiplication table for a finite field (Galois Field) of n denoted GF(n).

Free Gamma Constant γ Calculator - This calculator generates 5000 iterations for the development of the gamma constant γ

Free Group Combinations Calculator - Given an original group of certain types of member, this determines how many groups/teams can be formed using a certain condition.

Free Heptagonal Number Calculator - This calculator determines the nth heptagonal number

Free Hexagonal Number Calculator - This calculator determines the nth hexagonal number

Free Hyperbolic Function Calculator - Calculates hyperbolic function values: sinh, cosh, tanh, csch, sech, coth

Free Hyperbolic Inverse Calculator - Calculates hyperbolic function values: arcsinh, arccosh, arctanh, arccsch, arcsech, arccoth

Free Interpolation Calculator - Given a set of data, this interpolates using the following methods:
* Linear Interpolation
* Nearest Neighbor (Piecewise Constant)
* Polynomial Interpolation

Free Interval Partition Calculator - Given a partitioned interval, this evaluates the norm (mesh) by calculating each subinterval

Free Lagrange Four Square Theorem (Bachet Conjecture) Calculator - Builds the Lagrange Theorem Notation (Bachet Conjecture) for any natural number using the Sum of four squares.

Free Letter Arrangements in a Word Calculator - Given a word, this determines the number of unique arrangements of letters in the word.

Free Linear Congruence Calculator - Given an modular equation ax ≡ b (mod m), this solves for x if a solution exists

Free Linear Congruential Generator Calculator - Using the linear congruential generator algorithm, this generates a list of random numbers based on your inputs

Free Modular Exponentiation and Successive Squaring Calculator - Solves xn mod p using the following methods:
* Modular Exponentiation
* Successive Squaring

Free Modulus Calculator - Given 2 integers a and b, this modulo calculator determines a mod b or simplifies modular arithmetic such as 7 mod 3 + 5 mod 8 - 32 mod 5

Free Modus Ponens Calculator - Shows modus Ponens definition and examples

Free Modus Tollens Calculator - Shows Modus Tollens definition and examples

Free Multifactorials Calculator - Calculates the multifactorial n!(m)

Free Nonagonal Number Calculator - This calculator determines the nth nonagonal number

Free Number Property Calculator - This calculator determines if an integer you entered has any of the following properties:
* Even Numbers or Odd Numbers (Parity Function or even-odd numbers)
* Evil Numbers or Odious Numbers
* Perfect Numbers, Abundant Numbers, or Deficient Numbers
* Triangular Numbers
* Prime Numbers or Composite Numbers
* Automorphic (Curious)
* Undulating Numbers
* Square Numbers
* Cube Numbers
* Palindrome Numbers
* Repunit Numbers
* Apocalyptic Power
* Pentagonal
* Tetrahedral (Pyramidal)
* Narcissistic (Plus Perfect)
* Catalan
* Repunit

Free Octagonal Number Calculator - This calculator determines the nth octagonal number

Free Ordered and Unordered Partitions Calculator - Given a population size (n) and a group population of (m), this calculator determines how many ordered or unordered groups of (m) can be formed from (n)

Free Pentagonal Number Calculator - This calculator determines the nth pentagonal number

Free Primitive Root Calculator - Given a prime number p and a potential root of b, this determines if b is a primitive root of p.

Free Quotient-Remainder Theorem Calculator - Given 2 positive integers n and d, this displays the quotient remainder theorem.

Free Rectangular Number Calculator - This calculator determines the nth rectangular number

Free Sieve of Eratosthenes Calculator - Using the Sieve of Eratosthenes algorithm, this will show how many prime numbers are less than a number (n).

Free Square Number Calculator - This calculator determines the nth square number

Free Triangular Number Calculator - This calculator determines the nth triangular number. Generates composite numbers.

Free Truth Tables Calculator - Sets up a truth table based on a logical statement of 1, 2 or 3 letters with statements such as propositions, equivalence, conjunction, disjunction, negation. Includes modus ponens.