莱布尼茨对二进制体系的贡献新论

Leibniz’s Undoubted Contribution to the Binary System

有关莱布尼茨二进制算术与《易经》关系问题,学界历来诸说纷纭。虽然先天易中已隐喻二进位数制思想,但二进位数制和二进制算术有着质的区别。通过数制、算术等基本概念的分析,认为莱布尼茨是最早系统完整探讨二进制算术的学者。莱布尼茨明确探讨了二进位数制,首次发明二进制与十进制的转换和二进制算术运算。此外,他还以其远见卓识,促使了二进制算术的公开传播,正是他的学术论文标志着二进制算术正式创立。

There were a lot of arguments about relations between Yi Jing and Leibniz’s binary arithmetic in academic circles.Although the Primordial Yi has the idea of the binary system,there is an essential distinction between the idea of the binary system and the binary arithmetic.Through analysis of concepts of number system and arithmetic,this paper thought that Leibniz is the first to discuss the binary arithmetic systematically.He clearly probed into the binary system and invented the method of conversion between the binary and the decimal system,moreover he also made operation of the binary arithmetic.Furthermore,he made the binary arithmetic propagating for his far-sight.It is his academic paper that signed the establishment of the binary arithmetic.