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The classic multiplication algorithm we all learned in grade school, also known as long multiplication, requires the multiplication of each digit of one number by each digit of the other number. A multiplication of two 2-digit numbers a 1 a 2 and b 1 b 2 will require four single-digit multiplications: a 2 b 2 , a 2 b 1 , a 1 b 2 , and a 1 b 1 . ................
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