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Multiplication

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.

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Multiplication -

Tag(s) : Arithmetics,Mathematics

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Multiplication

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Multiplication of 2 numbers



Also on dCode: Exponentiation

Multiply many numbers



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.

Answers to Questions

How to calculate a multiplication with big numbers?

dCode uses arbitrary precision algorithm in order to get exact values without scientific notation.

What are table for multiplication?

-12345678910
112345678910
22468101214161820
336912151821242730
4481216202428323640
55101520253035404550
66121824303642485460
77142128354249566370
88162432404856647280
99182736455463728190
10102030405060708090100

What is the Karatsuba algorithm?

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

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).

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Source code

dCode retains ownership of the source code of the script Multiplication. Except explicit open source licence (free / freeware), any algorithm, applet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any snippet or function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in PHP (or Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Multiplication script for offline use, for you, your company or association, see you on contact page !

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