#### Multiplication of Decimal Numbers

Since decimal numbers are implicitly just polynomials in the powers of 10,*e.g.*,

*multiplying two numbers convolves their digits*. The only twist is that, unlike normal polynomial multiplication, we have

*carries*. That is, when a convolution result (output digit) exceeds 10, we subtract 10 from the result and add 1 to the digit in the next higher place.

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