# Definitions for location arithmeticlo·ca·tion arith·metic

### WiktionaryRate this definition:0.0 / 0 votes

1. location arithmeticnoun

A technique described in Napier's treatise Rabdologiæ for performing multiplication, division and extraction of square roots by using counters to representing numbers in binary.

### WikipediaRate this definition:0.0 / 0 votes

1. Location arithmetic

Location arithmetic (Latin arithmeticae localis) is the additive (non-positional) binary numeral systems, which John Napier explored as a computation technique in his treatise Rabdology (1617), both symbolically and on a chessboard-like grid. Napier's terminology, derived from using the positions of counters on the board to represent numbers, is potentially misleading because the numbering system is, in facts, non-positional in current vocabulary. During Napier's time, most of the computations were made on boards with tally-marks or jetons. So, unlike how it may be seen by the modern reader, his goal was not to use moves of counters on a board to multiply, divide and find square roots, but rather to find a way to compute symbolically with pen and paper.

### FreebaseRate this definition:1.0 / 1 vote

1. Location arithmetic

Location arithmetic is the additive binary numeral systems, which John Napier explored as a computation technique in his treatise Rabdology, both symbolically and on a chessboard-like grid. Napier's terminology, derived from using the positions of counters on the board to represent numbers, is potentially misleading in current vocabulary because the numbering system is non-positional. During Napier's time, most of the computations were made on boards with tally-marks or jetons. So, unlike it may be seen by modern reader, his goal was not to use moves of counters on a board to multiply, divide and find square roots, but rather to find a way to compute symbolically, as we learned to do it at school up to a few decade ago. However, when reproduced on the board, this new technique did not require mental trial-and-error computations nor complex carry memorization. He was so pleased by his discovery that he said in his preface

### Numerology

1. Chaldean Numerology

The numerical value of location arithmetic in Chaldean Numerology is: 7

2. Pythagorean Numerology

The numerical value of location arithmetic in Pythagorean Numerology is: 6

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"location arithmetic." Definitions.net. STANDS4 LLC, 2023. Web. 21 Mar. 2023. <https://www.definitions.net/definition/location+arithmetic>.

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