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The binary number system is a numerical system that uses only two digits, 0 and 1, to represent numbers. It is commonly used in computing and digital electronics.
In the binary number system, each digit represents a power of 2. The rightmost digit represents 2^0, the next digit represents 2^1, and so on. The value of each digit is multiplied by its corresponding power of 2 and then added together to get the final value of the number.
The main difference between binary and decimal numbers is the number of digits used. Binary numbers only use 0 and 1, while decimal numbers use 0-9. Additionally, the place value in binary is based on powers of 2, while in decimal it is based on powers of 10.
To convert a binary number to a decimal number, you can use the place value method. Write the binary number with the powers of 2 above each digit. Then, multiply each digit by its corresponding power of 2 and add them together to get the decimal equivalent.
The binary number system is used in various fields such as computing, digital electronics, and telecommunications. It is also used in coding and data encryption, as well as in financial markets for representing stock prices. Additionally, it is used in DNA coding and gene sequencing in biology.