Binary System

Binary System

Presented by Mr. WilhelmiPresented by Mr. Wilhelmi

Internal Representation of Data

InputInput Data that is put into the computer for Data that is put into the computer for

processingprocessing DataData

The raw material to be processed by a computerThe raw material to be processed by a computer InformationInformation

Data that is organized, meaningful, & usefulData that is organized, meaningful, & useful To be useful, information must be:To be useful, information must be:

Complete, accurate, relevant, Complete, accurate, relevant, && timely timely

Pioneers

George BooleGeorge Boole 1800’s1800’s Boolean mathematicsBoolean mathematics Human reason could be reduced to Human reason could be reduced to yes/no yes/no

questionsquestions

George ShannonGeorge Shannon 19371937 Used Boolean logic to wire electrical switchingUsed Boolean logic to wire electrical switching

Binary Number System

Electrical Electrical circuits/switches circuits/switches have one of two have one of two states – on or states – on or off (light off (light switch)switch)

Binary Number System Binary SystemBinary System (Base of 2) – uses two numbers to (Base of 2) – uses two numbers to

represent the states: represent the states: 11 for for ONON and and 00 for for OFFOFF

BitBit ( (BiBinary Diginary Digitt) – each ) – each 11 or or 00

ByteByte – an – an 8-bit8-bit unit that represents unit that representsone characterone character

Decimal to Binary

There can be as many 0’s and 1’s as required within eight There can be as many 0’s and 1’s as required within eight places to represent a particular characterplaces to represent a particular character

ASCII Code

American Standard Code American Standard Code for Information for Information InterchangeInterchange

Small computers use Small computers use ASCII code to convert ASCII code to convert characters into the characters into the machine language of 1’s machine language of 1’s and 0’s.and 0’s.

Conversion is handled by Conversion is handled by the computer system’s the computer system’s input and output devicesinput and output devices