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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

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.

How to calculate a multiplication with big numbers?

The dCode multiplication tool uses arbitrary precision calculation algorithms. That is to say that it can obtain exact values without rounding nor need of a 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:

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).