__What is Number Systems__

### Introduction:

There square measure many types of knowledge like, numeric, text, date, graphics, image, audio and video that required to be method to by a PC. The text sometimes include commonplace alphabetic, numeric, and special characters. The graphics knowledge include still footage footage drawing and pictures. Any kind of sound together with music and voice, is taken into account as audio knowledge. Video knowledge consists of motion footage. {the knowledge|the info|the information} should be born-again into to a format that the PC data are often classified into 2 forms, analog knowledge and digital knowledge. Analogue knowledge will have any price at intervals an outlined vary and it's continuous. Sound waves, phonephone signals, temperatures and every one alternative signals that don't seem to be broken into bits square measure samples of analogue knowledge. Digital knowledge are often diagrammatically by a series of binary numbers and it's separate.

The arithmetic and logic unit (ALU) of the PC performs arithmetic and logical operations on knowledge. PC arithmetic is usually performed on 2 differing types of numbers, number and floating purpose. because the hardware needed for arithmetic is far less complicated for integers than floating purpose numbers, this 2 varieties have entirely totally different representations. Associate in Nursing variety|number} could be a number and therefore the floating purpose number features a divisional half. to know regarding however computers store knowledge within the memory and the way they handle them one should realize bits and bytes and therefore the variety systems.

Bits and bytes or common PC jargon. each the most memory (Random access memory or RAM) and therefore the disc capacities square measure measured in terms of bytes. The disc and memory capability of a PC and alternative specifications or delineate in terms of bits and bytes. as an example, PC American state be delineate as having a thirty two bit Pentium processor with 128 megabytes of RAM and fixed disk capability of forty gigabytes.

## Bits and Bytes

NAME | ABBREVIATION | SIZE (BYTES) |

Kilo | K | 2^10* |

Mega | M | 2^20 |

Giga | G | 2^30 |

Tera | T | 2^40 |

Peta | P | 2^50 |

Exa | E | 2^60 |

Zetta | Z | 2^70 |

Yotta | Y | 2^80 |

#### Decimal number system

In our standard of living, we have a tendency to use system supported digits to represent numbers. the system that uses the decimal numbers or digits symbols zero to nine is termed as decimal numeration system. The system is alleged to possess a base, or radii, of ten. sequence of digits image square measure wont to represent numbers bigger than nine. once variety is written a sequence of decimal digits, its price are often understood mistreatment the point price of every digit within the variety. The point numeration system could be a system of writing numbers wherever the worth of a digit depends not solely on the digit, however additionally on a it's placement at intervals variety. within the point numeration system, every digit is weighted relative to its position within the variety. this suggests that every digit within the variety is increased by 10 raised to an influence such as that digits position. so the worth of the decimal sequence 948 is

94810=9 X 102 + four X one zero one + eight X one hundred

Fractional values square measure diagrammatically within the same manner, however exponents square measure negative for digits on the proper aspect of the mathematical notation. so the worth of the divisional decimal sequence 948.23 is

948.2310=9 X 102 + four X one zero one + eight X one hundred + two X 10-1 + three X 10-2

In general, for the decimal illustration of

X = the worth of X is

X= Si x 10i wherever i= ...... 2, 1, 0, -1, -2, ......

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