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:
“If after all this any one will be so sceptical, as to distrust his Senses, and to affirm, that all we see and hear, feel and taste, think and do, during our whole Being, is but the series and deluding appearances of a long Dream, whereof there is no reality,... I must ask him to consider, if all be a Dream, then he doth but dream, that he makes the Question; and so it is not much matter, that a waking Man should answer him.”
—John Locke (1632–1704)