The binary number equivalent to the decimal number 254 is

The binary number equivalent to decimal number 254 is:111111.

Introduction to binary system:

Binary is a digital system widely used in computing technology. Binary data are numbers represented by 0 and 1. Its cardinal number is 2, the carry rule is "every two enters one", and the borrowing rule is "borrowing one as two", which was discovered by the German master of mathematical philosophy Leibniz in18th century.

At present, the computer system basically adopts binary, and the data is mainly stored in the computer in the form of complement. The binary in the computer is a very tiny switch, with 1 indicating "on" and 0 indicating "off".

The invention and application of computers is one of the important symbols of the third scientific and technological revolution in the 20th century. Its operating mode is binary.

1 9th century, Irish logician george boole transformed the thinking process of logical propositions into algebraic calculus with some symbols 0,1',and the binary system was binary. 0, 1 is the basic operator. Because it only uses two digital symbols, 0 and 1, it is very simple and convenient, and easy to realize electronically.

The relationship between Leibniz and binary;

Leibniz not only invented binary system, but also endowed it with religious connotation.

In a letter to Bouvet, a French priest who was preaching in China at that time, he said, "The first day began with 1. The beginning of the second day is 2 ... On the seventh day, everything is available. Therefore, this last day is also the most perfect. Because at this time, everything in the world has been created. So writing' 7' means'111'."

Bouvier is a good friend of Leibniz and keeps frequent correspondence with him. Leibniz once translated many articles of Bouvier into German and published them. It was Bu Wei who introduced Zhouyi and the Eight Diagrams system to Leibniz.

Eight diagrams is a divination system composed of eight symbol groups, which are divided into continuous and discontinuous horizontal lines. In Leibniz's view, these two symbols, which were later called "Yin" and "Yang", were China replicas of his binary system.

The above data comes from the computer network.