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# Binary Notation - PowerPoint PPT Presentation

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

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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

• 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

• 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 -.

• Two numbers/symbols can be represented in many ways

• 0 1

• On Off

• True False

• Yes No

• Open Closed

(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

• 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

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

• Electrical representation

• Multiple transistors on silicon chip

• Open - electricity can flow - 1

• Closed - no electrical flow - 0

• Volatile

• CPU

• Ram

• Electrical representation

• 1.8 volts (or greater) - 1

• 0 volts - 0

• Volatile

• System bus

• Magnetic properties of iron oxide particles covering a surface

• Particles in one direction - 1

• Particles in opposite direction - 0

• Non-volatile

• Hard disk

• Reflective surface with burned areas

• Burned - Pit -1

• Not burned - Land - 0

• Non-volatile

• CD

• DVD

• Trapped electrons in a grid pattern with gates

• Open - 1

• Closed - 0

• Non-volatile

• Flash Drive

• Bit - binary digit

• on / off, 1 / 0, true / false, open / closed

• Byte - eight bits

• Smallest unit for storing data

• Numeric data

• Numbers in binary

• Instructions

• Coded patterns of 0’s & 1’s

• Characters

• Encoding systems

• Standards Organizations

• The Unicode Consortium

• American National Standards Institute - ANSI

• Institute of Electrical and Electronics Engineers - IEEE

• International Organization for Standardization - ISO

• Analog signal

• Continuous waves

• Digital signal

• Set of numbers

• Can be used to describe a wave

• Can also be used to recreate a wave