Calculation with big integers

Input

The inputs for  a  and  b  are big integers with a maximum of 10,000 digits. The checkbox   can be used to set whether the digits should be grouped in blocks of three. Thousands separator is a thin space.
The inputs for  n  and  k  are non-negative integers less than 10⁹.

The checkbox  can be used to set whether an approximation in scientific notation should also be output for very large numbers. MatheAss uses a comma instead of a decimal point.

Basic arithmetic

Addition, subtraction, multiplication and division with remainder of two big integers  a  and  b  with a maximum of 10,000 digits can be carried out. If the result is more than 10,000 digits, the *** OVERFLOW *** error message is displayed.

Combinatorics

The names for the tasks from combinatorics correspond to those on scientific pocket calculators.
The entries can have up to 9 digits, the results up to 10,000 digits.

  Combinations (unordered) without repetitions: $\mathrm{nCr}(n,k) = \dbinom{n}{k} = \dfrac{n!}{k!\,(n-k)!}$

Variations (ordered) without repetitions: $\mathrm{nPr}(n,k) = \: {}^{n}P_{k} \: = \dfrac{n!}{(n-k)!}$

Combinations with repetitions. Instead of   n^k ,  aⁿ  was chosen because Big Integers are allowed as the basis.

Permutations, i.e. variations with n = k.

You can also specify a start value, an end value, and an increment for  n  and  k  to create a table with multiple values.

Copy

  Copies the result of the last task to a.

  Copies the result of the last task to b.

  Copy the remainder of the last division to b.

  Swaps the inputs of a and b.

Clear

  Clears the entries.

  Deletes the last task.

  Clears all tasks.

Chain calculations

The operation selected below can be repeated with the button.
The results are copied to  a.
This allows chain calculations of the form  a · b · ... · b  to be carried out.

See also:

Calculation with big integers - Examples