Tool to make multiplication with large numbers. Multiplication is a basic arithmetic operation defined as the repetition of an addition. 3 times 2 = 2+2+2. Standard calculators are limited with big numbers.

Multiplication - dCode

Tag(s) : Arithmetics

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Tool to make multiplication with large numbers. Multiplication is a basic arithmetic operation defined as the repetition of an addition. 3 times 2 = 2+2+2. Standard calculators are limited with big numbers.

The dCode **multiplication** tool with big integers uses arbitrary precision calculation algorithms. That is to say that it can **multiply** exact values without rounding nor need of a scientific notation. It is called large/huge number **multiplication**.

\ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|---|---|---|

1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |

3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |

4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |

5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |

6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |

7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |

8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |

9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 |

10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |

In order to improve calculation time the **multiplication** is accelerated by decomposing it:

Example: ab * cd = (a * 10^k + b) * (c * 10^k + d) = ac * 10^2k + (ad + bc) * 10^k + bd

This **multiplication** needs 4 values ac, ad, bc and bd. More :

(a * 10^k + b) * (c * 10^k + d) = ac * 10^2k + (ac + bd - (a - b)(c - d)) * 10^k + bd

The same **multiplication** needs 3 values : ac, bd and (a - b)(c - d).

dCode retains ownership of the source code of the script Multiplication online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be given for free. To download the online Multiplication script for offline use on PC, iPhone or Android, ask for price quote on contact page !

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Source : https://www.dcode.fr/big-numbers-multiplication

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