le Past M u l t i p l y i n g on t h e C h e s s b o a r d John A. N. Lee Department of Computer Science Virginia Tech Blacksburg, Virginia 24061-0106 janlee @cs.vt.edu m y last umn, we covered the means by which John Napier (15501617) used a chessboard in order to create a c a l c u l a t i n g device for the activities of addition and subtraction, and in the process " d i s c o v e r e d " the binary numbering system. Some authors have given Napier full credit for this discovery, though in fact it can be shown that the use of a two-digit representation. s y s t e m goes m u c h further b a c k in history. N a p i e r n e v e r s e e m e d to associate his digit representation of a and b with the numerals 0 and 1, though in principle they took on these values. T h r o u g h o u t N a p i
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