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
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
> [News]: Discover the next version of dCode Multiplication!
Multiplication
Sponsored ads
Multiplication of 2 numbers
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?
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.
What are table for 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 |
What is the Karatsuba algorithm?
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).
Source code
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 !
Questions / Comments
Version Française
> [News]: Discover the next version of dCode Multiplication!