1.2 Network Math  
  1.2.1 Binary presentation of data  
Computers work with and store data using electronic switches that are either ON or OFF. Computers can only understand and use data that is in this two-state or binary format. 1 is represented by an ON state, and 0 is represented by an OFF state. The ones and zeros are used to represent the two possible states of an electronic component in a computer. They are referred to as binary digits or bits.

The American Standard Code for Information Interchange (ASCII) is the most commonly used code for representing alpha-numeric data in a computer. ASCII uses binary digits to represent the symbols typed on the keyboard. When computers send ON/OFF states over a network, electrical, light, or radio waves are used to represent the 1s and 0s. Notice that each character has a unique pattern of eight binary digits assigned to represent the character.

Because computers are designed to work with ON/OFF switches, binary digits and binary numbers are natural to them. Humans use the decimal number system, which is relatively simple when compared to the long series of 1s and 0s used by computers. So the computer binary numbers need to be converted to decimal numbers.

Sometimes binary numbers need to be converted to Hexadecimal (hex) numbers which reduces a long string of binary digits to a few hexadecimal characters. This makes it easier to remember and to work with the numbers.

 

Web Links

Data Representation and Number Systems

http://scholar.hw.ac.uk/site/computing/ subindex_f1ncomp5topic1.html

ASCII Code Chart

http://www.jbase.com/knowledgebase/ manuals/3.0/ 30manpages/man/ AsciiChart.htm