What is the overall mathematical operation is being illustrated?
This problem’s question: What is the overall mathematical operation is being illustrated?
The inputs to the operation are the positive integers 371 and 409.
3 7 1 1 8 5 9 2 4 6 2 3 1 1 5 2 1 4 0 9 8 1 8 1 6 3 6 3 2 7 2 6 5 4 4 1 3 0 8 8 2 6 1 7 6 5 2 3 5 2 1 0 4 7 0 4 1 5 1 7 3 9
The 1 5 1 7 3 9 is the result of the operation. The only are to indicate selections during the operation; they are not otherwise significant.
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1 solution
I was actually thinking why everything on the right except 409 was even when I realised:371x409 is about 148,000 and should end in a 39.
Yes, you are correct. Follow the link in the solution for a description of the method. In short form, the left hand column is divided by 2 with the remainder discarded until 1 is reached, then the right hand column is multiplied by two (doubled), then the right hand column values matched to odd numbers in the left column are added (those would be the 1 bits in the binary representation of the left hand number, 1 0 1 1 1 0 0 1 1 2 , reading from right to left in the binary number and from top to bottom in the table) and are the boxed numbers in the right hand column and the result would be the multiplication of the initial numbers. As you noted, it would be sufficient to solve this problem to see that result was the product of the initial numbers and that would the proper choice in the offered possible answers.
This is a multiplication method known to have been known in ancient Egyptian times from documents which have survived since then. It is known by several different names some of which are named in the Wikipedia article.