number system
Download
Skip this Video
Download Presentation
Number System

Loading in 2 Seconds...

play fullscreen
1 / 20

Number System - PowerPoint PPT Presentation


  • 135 Views
  • Uploaded on

Number System. What’s the most natural way to count?. Number System. What’s the most natural way to count? Use your hands. ( or maybe feet too! ). Number System. In ancient times, people use notches What’s the problem?. Number System.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Number System' - miracle


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
number system
Number System
  • What’s the most natural way to count?
number system1
Number System
  • What’s the most natural way to count?Use your hands. ( or maybe feet too! )
slide3
Number System

In ancient times, people use notches

What’s the problem?

number system2
Number System
  • The need for a number system to count. -- a small set of symbols-- has to be convenient for calculation-- has to cover all the numbers, of course…
  • What are some of the number systems that we are using?
number system3
Number System
  • Decimal numbers
  • Money!
  • Roman numerals.

Why decimals?

number system4
Number System
  • Roman NumeralsI (1), II ( 2 ), III ( 3) What is 4 ?
number system5
Number System
  • IV ( 4 )
  • V ( 5 ), VI ( 6 ) … IX( 9 ), X( 10 ), XI ( 11 ) …L ( 50 ), C ( 100 ) , D ( 500 )
number system6
Number System
  • How good is it?
number system7
Number System
  • CDXLVIII is 448
number system8
Number System
  • 600 AD: The Arabic number system is started. In 15th Century, it is prevalent in Europe.So the Arabic decimal number system is great for us. But is it good for every body?
number system9
Number System
  • What’s a decimal system? What’s base-10?
  • Really, 657 = 6 * 100 + 5 * 10 + 7 * 1 = 6 * 102 + 5 * 101 + 7 * 100
number system10
Number System
  • So what base would E.T. use?
number system12
Number System
  • 657 ( in E.T.’s system) = 6 * 82 + 5 * 81 + 7 * 80 = ? ( in decimal )
number system13
Number System
  • 657( Octal ) = 431 ( in decimal )What about computer? Which base would it like to use?
number system14
Number System
  • 1011 = 1 * 23 + 0 * 22 + 1 * 21 + 1 * 20

=11 ( in decimal )

number system15
Number System
  • To do addition in binary 1011 + 1010 10101
number system16
Number System

What else can we do with numbers other than counting and arithmetic?

number system17
Number System
  • We can encode any symbols with numbers!!Hence, a computer can store all kinds of stuff by representing symbols as binary numbers.
ad