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1余数和二进制数人们常利用余数将整数分类来简化研究和解决数学问题,对于十进制中的整除和同余规律已经非常熟悉了。那么,如何描述任意二进制数的余数特点呢?第三次科技革命的重要标志之一的计算机的发明与应用,其运算基本模式正是二进制。由此可以看出,二进制是非常重要的一种进制,需要更加仔细研究二进制数的运算规律。2用数位通项研究二进制数的余数同余定义:若两个整数N和M被自然数k除有
1 Residues and Binary Numbers People often use integers to classify integers to simplify research and solve mathematical problems, and are familiar with the rules of division and congruence in decimal. So, how to describe the remainder of any binary number features? The third scientific and technological revolution, an important symbol of the invention and application of the computer, the basic mode of operation is exactly binary. From this we can see that binary is a very important kind of hexadecimal, and we need to study the operation law of binary numbers more carefully. 2 Using Digitals to Study Residues of Binary Numbers Congruence Definition: If two integers N and M are divided by a natural number k