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2. Karatsuba algorithm - Wikipedia

   en.wikipedia.org/wiki/Karatsuba_algorithm

   [1] [2] [3] It is a divide-and-conquer algorithm that reduces the multiplication of two n-digit numbers to three multiplications of n/2-digit numbers and, by repeating this reduction, to at most ⁡ single-digit multiplications.

3. Multiplication algorithm - Wikipedia

   en.wikipedia.org/wiki/Multiplication_algorithm

   More formally, multiplying two n-digit numbers using long multiplication requires Θ(n 2) single-digit operations (additions and multiplications). When implemented in software, long multiplication algorithms must deal with overflow during additions, which can be expensive.

4. Trachtenberg system - Wikipedia

   en.wikipedia.org/wiki/Trachtenberg_system

   The method for general multiplication is a method to achieve multiplications with low space complexity, i.e. as few temporary results as possible to be kept in memory. . This is achieved by noting that the final digit is completely determined by multiplying the last digit of the multiplic

5. Napier's bones - Wikipedia

   en.wikipedia.org/wiki/Napier's_bones

   1.2 Multiplication by a larger single-digit number. 1.3 Multiplication by a multi-digit number. 2 Division. ... (For example, the sixth row is read as: 0 ⁄ 6 1 ...

6. Binary multiplier - Wikipedia

   en.wikipedia.org/wiki/Binary_multiplier

   In binary encoding each long number is multiplied by one digit (either 0 or 1), and that is much easier than in decimal, as the product by 0 or 1 is just 0 or the ...

7. Multiplication - Wikipedia

   en.wikipedia.org/wiki/Multiplication

   Multiplication can also be thought of as scaling. Here, 2 is being multiplied by 3 using scaling, giving 6 as a result. Animation for the multiplication 2 × 3 = 6 4 × 5 = 20. The large rectangle is made up of 20 squares, each 1 unit by 1 unit. Area of a cloth 4.5m × 2.5m = 11.25m 2; 4 ⁠ 1 / 2 ⁠ × 2 ⁠ 1 / 2 ⁠ = 11 ⁠ 1 / 4 ⁠