High-Precision Multiplication Algorithm

3. Multiplication Operation

1. High-precision array a multiplied by an integer x:

2. Each element in the array a is multiplied by x, and any carries are handled appropriately. The result is stored in a new high-precision array.

3. Multiplication of two high-precision arrays:

4. Multiply each element of one array with every element of the other, similar to how we multiply by hand, and store the intermediate results in a result array.

Important Notes:

1. Array Length: The length of the result array is determined by the sum of the lengths of the two input arrays. Ensure the array can store the final product without overflow.
2. Array Pointer Movement: During multiplication, the position in the result array (where intermediate sums are stored) is adjusted based on the indices of the elements being multiplied. Proper pointer management is crucial to ensure that each product is placed in the correct position.