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This example uses peasant multiplication to multiply 11 by 3 to arrive at a result of 33. Decimal: Binary: 11 3 1011 11 5 6 101 110 2 12 10 1100 1 24 1 11000 —— —————— 33 100001 Describing the steps explicitly: 11 and 3 are written at the top
1.3 Multiplication by a multi-digit number. 2 Division. ... 40 rods are needed in order to multiply 4-digit numbers – since numbers may have repeated digits, four ...
As an example, consider the multiplication of 58 with 213. After writing the multiplicands on the sides, consider each cell, beginning with the top left cell. In this case, the column digit is 5 and the row digit is 2. Write their product, 10, in the cell, with the digit 1 above the diagonal and the digit 0 below the diagonal (see picture for ...
The method for general multiplication is a method to achieve multiplications ... For rules 9, 8, 4, and 3 only the first digit is subtracted from 10. After that each ...
Karatsuba multiplication of az+b and cz+d (boxed), and 1234 and 567 with z=100. Magenta arrows denote multiplication, amber denotes addition, silver denotes subtraction and cyan denotes left shift. (A), (B) and (C) show recursion with z=10 to obtain intermediate values. The Karatsuba algorithm is a fast multiplication algorithm.
The most difficult part is to obtain the partial products, as that involves multiplying a long number by one digit (from 0 to 9): 123 × 456 ===== 738 (this is 123 × 6) 615 (this is 123 × 5, shifted one position to the left) + 492 (this is 123 × 4, shifted two positions to the left) ===== 56088