Tool to make multiplication with large numbers (with lots of digits/figures). Standard calculators are limited with big numbers.
Multiplication - dCode
Tag(s) : Arithmetics
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Multiplication is a basic arithmetic operation defined as the repetition of an addition.
Example: 3 times 2 $ = 3 \times 2 = 2+2+2 $
The dCode multiplication tool with big integers uses arbitrary precision calculation algorithms. That is to say that it is not limited to 4 billion and it can multiply exact values without rounding nor need of a scientific notation. It is called large/huge number multiplication.
Traditionally multiplication tables refers to this table:
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).