# Binary number system

The number system which utilizes only two symbols or digits is referred as binary number system.

This number system uses only zero’s and one’s for counting as well as performing various arithmetic operations.

The radix or base in binary number system is **2 **since it involves only 2 symbols.

The symbol used in binary number system is commonly known as **bit .**

The generic format for representing any number in binary number system is as show below

** 2 ^{4} 2^{3} 2^{2} 2^{1} 2^{0} 2^{-1} 2^{-2} 2^{-3} 2^{-4 }←**

**Weights**

S_{4 } |
S_{3 } |
S_{2 } |
S_{1 } |
S_{0 } |
. |
S_{-1 } |
S_{-2 } |
S_{-3 } |
S_{-4 } |

** ****↑**** ↑ ****↑**

**MSB Binary point LSB**

where

**MSB i the most significant bit**

** LSB is the least significant bit**

** ****S _{1}**

**,S**

_{2}**,S**

_{3 ….}**Sn**

_{ }**are values assigned.**

**Note:**The following terms are commonly used in the field of electronics and it is important that you know it.

- A combination of
**4 bits(0’s and 1’s)**is called**1****Nibble**. - A combination of
**8 bits****(0’s and 1’s)**is called**1 Byte**. - A combination of
**16 bits****(0’s and 1’s)**is called**1 Word**. - A combination of
**32 bits****(0’s and 1’s)**is called**double word**.