Binary Notation

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# Binary Notation - PowerPoint PPT Presentation

Binary Notation. The world reduced to 0’s &amp; 1’s. What are binary numbers?. Decimal system uses ten symbols to represent numeric information 0 1 2 3 4 5 6 7 8 9 Each position within a number represents 10 raised to a power

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## PowerPoint Slideshow about 'Binary Notation' - liesel

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Presentation Transcript

### Binary Notation

The world reduced to 0’s & 1’s

What are binary numbers?
• Decimal system uses ten symbols to represent numeric information
• 0 1 2 3 4 5 6 7 8 9
• Each position within a number represents 10 raised to a power
• Binary system uses two symbols to represent numeric information
• 0 1
• Each position within a number represents 2 raised to a power
• Binary numbers can be converted to decimal numbers and vice versa
Using binary numbers
• Binary numbers can be used for mathematical operations
• 101 + 110 = 1011
• Binary numbers can be used to represent characters
• Morse Code -
• S ... U ..- S ... A .- N -.
Binary symbol representation
• Two numbers/symbols can be represented in many ways
• 0 1
• On Off
• True False
• Yes No
• Open Closed
Gottfried Wilhelm Liebniz

(1646 - 1716)

Logic from verbal state to absolute mathematical condition

Influenced by ‘I Ching’

George Boole

(1815 - 1864)

Boolean Algebra

Two Object

On / Off, True / False

Three Operations

AND / OR / NOT

Binary & Boolean Logic
Why do computers use binary?
• Must have a way to represent data and instructions
• Minimum representation uses two symbols
• Binary is the smallest numbering system with only two symbols, 0 & 1
• Binary numbers combined with Boolean logic create circuits capable of mathematical and logic operations
Not every computer used binary

The Eniac, Electronic Numerical Integrator and Computer, used a decimal system

### Binary symbol representation

There are five different ways to represent binary symbols within a computer

Some volatile - some more permanent

Integrated Circuits
• Electrical representation
• Multiple transistors on silicon chip
• Open - electricity can flow - 1
• Closed - no electrical flow - 0
• Volatile
• CPU
• Ram
Wire Connections
• Electrical representation
• 1.8 volts (or greater) - 1
• 0 volts - 0
• Volatile
• System bus
Magnetic
• Magnetic properties of iron oxide particles covering a surface
• Particles in one direction - 1
• Particles in opposite direction - 0
• Non-volatile
• Hard disk
Optical
• Reflective surface with burned areas
• Burned - Pit -1
• Not burned - Land - 0
• Non-volatile
• CD
• DVD
Solid State
• Trapped electrons in a grid pattern with gates
• Open - 1
• Closed - 0
• Non-volatile
• Flash Drive
How binary notation represents data
• Bit - binary digit
• on / off, 1 / 0, true / false, open / closed
• Byte - eight bits
• Smallest unit for storing data
How binary notation represents data
• Numeric data
• Numbers in binary
• Instructions
• Coded patterns of 0’s & 1’s
• Characters
• Encoding systems
Who is behind encoding
• Standards Organizations
• The Unicode Consortium
• American National Standards Institute - ANSI
• Institute of Electrical and Electronics Engineers - IEEE
• International Organization for Standardization - ISO
Using binary notation for other data
• Analog signal
• Continuous waves
• Digital signal
• Set of numbers
• Can be used to describe a wave
• Can also be used to recreate a wave