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High Quality Content by WIKIPEDIA articles! Location arithmetic (Latin arithmeticæ localis) is a technique to do binary arithmetic using a chessboard-like grid. John Napier termed the technique in his treatise Rabdology, from the way that positions of counters on the board represented numbers. Using simple moves of counters on the board, Napier showed ways to multiply, divide and even find the square roots of binary numbers. He was so pleased by his discovery that he said in his preface. ... it might be well described as more of a lark than a labor, for it carries out addition, subtraction, multiplication, division and the extraction of square roots purely by moving counters from place to place.