## Thinking Mathematically (6th Edition)

The binary number system is counting system in machines. All digital systems use the binary system for manipulation of numbers. For instance, ${{1000001}_{two}}$binary value is letter “A” to represent on digital monitors. It is called ASCII code. Computers are a digital system. They can understand only machine language, that is, binary numbers, a series of 1’s and 0’s. They use machine language to accept “commands”, process, represent and communicate with other devices or to the real world. Like computers, any digital electronic device or system uses machine language. For large values, binary numbers become tremendous to interact with. Hexadecimal and octal number systems are used to make it more readable and easy to manipulate.