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The decimal number system is a base-10 numbering system. The binary number system is a base-2 numbering system in which the value of a digit is either 0 or 1.
Binary numbers are comprised of 0s and 1s. They are the smallest number system that can represent any number because they only require 2 digits to represent a number.
Binary numbers have many uses in mathematics and computing systems. They are used when programming computers, for example. When a computer or device is running on binary code it will store all of its data in binary form, including text files and programs.
It is also common for digital devices to use binary numbers when communicating with other devices - such as when synchronizing through Bluetooth. This is because they use a series of sequences of 1s and 0s to transport their data so it can be quickly decoded by the other device.