What is binary number?
A binary number is a position number system with two as a base. The binary number system consists of two different digits, namely zero and one. These can be used to represent all other numbers. Since it is a simple implementation by logic gates, it is mainly used in electronic and computer-based devices, in network and digital signal processing.
Binary numbers are often referred to as bits and could be represented by any two mutually exclusive states. A binary number is based on powers of two. Like other number systems, binary numbers can perform arithmetic operations such as addition, subtraction, multiplication, and division. The basic Boolean operations are based on binary numbers. With the help of floating point arithmetic, binary numbers can be used to represent fractions, real numbers, and large numbers.
Binary numbers can be converted into numbers of another number system such as the decimal system, hexadecimal system and octal system and vice versa. One of the easy ways to convert decimal numbers to binary numbers is to repeatedly divide the number by 2, with the remainder being the relevant bit in the binary system.
In the binary system, the rightmost digit stands for one, with each digit on the left doubling the value. Unlike other systems, binary numbers are easy to use and you will learn that they have no addition or multiplication tables associated with them. Since most devices only have two modes of operation, binary numbers are preferred while the circuit is being implemented. However, using binary numbers in everyday calculations or for writing long numbers can be very cumbersome and error-prone.