If a positional numeral system is used, a natural way of multiplying numbers is taught in schools as long multiplication, sometimes called grade-school multiplication, sometimes called Standard Algorithm: multiply the multiplicand by each digit of the multiplier and then add up all the properly shifted results. It requires memorization of the multiplication table for single digits.
This is the usual algorithm for multiplying larger numbers by hand in base 10. Computers normally use a very similar shift and add algorithm in base 2. A person doing long multiplication on paper will write down all the products and then add them together; an abacus-user will sum the products as soon as each one is computed.
Read more about this topic: Multiplication Algorithm
Famous quotes containing the word long:
“Remember that you are an actor in a drama, of such a part as it may please the master to assign you, for a long time or for a little as he may choose. And if he will you to take the part of a poor man, or a cripple, or a ruler, or a private citizen, then may you act that part with grace! For to act well the part that is allotted to us, that indeed is ours to do, but to choose it is another’s.”
—Epictetus (c. 55–135 B.C.)