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The decimal system is used in everyday life to represent numbers from 0 to 9, and is the notation used in mathematics. Binary numbers, on the other hand, represent numbers using only 0s and 1s, and are incremented by 0s and 1s, and when 1 is reached, the number is incremented to the next higher number.Binary numbers are also represented in binary by adding a trailing digit (2), such as 1001(2), to avoid being mistaken for decimal numbers. Binary numbers are used in computers, programs, etc., and can also represent negative numbers.