Upload
latika
View
48
Download
3
Embed Size (px)
DESCRIPTION
Representing numeric data with bits. S kills : counting with decimal and binary numbers Concepts : using a binary code for representing numbers, positional number systems, number system base, number of symbols in a number system. - PowerPoint PPT Presentation
Citation preview
Skills: counting with decimal and binary numbersConcepts: using a binary code for representing numbers, positional number systems, number system base, number of symbols in a number system
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
Representing numeric data with bits
Where does this topic fit?
• Internet concepts– Applications– Technology– Implications
• Internet skills– Application development– Content creation– User skills
Encoding numeric data
Data type Decade
Numeric 1950s
Alphanumeric 1960s
Text 1970s
Image 1990s
Speech 2000s
Music 2000s
Video 2000, 2010s
0 1 2 3 … 9
Using decimal numbers to count stones
?
One more stone
Zero, carry 1
10
Add 1 to the 1’s position
11
123456789
101112141516171819202122...
90919293949596979899
100101...
11
Using binary numbers to count stones
101 100 101 110
0123456789
101112131415161718192021…
Counting with decimal and binary numbers
01
1011
100101110111
10001001101010111100110111101111
100001000110010100111010010101…
250
11111010
Convert 11111010 (binary) to decimal
1 x 128 = 1281 x 64 = 641 x 32 = 321 x 16 = 161 x 8 = 80 x 4 = 01 x 2 = 20 x 1 = 0
Total = 250
11111010 (binary) = 250 (decimal)
Mayan base 20 symbols
99 or 1100011
Summary
Self study questions
1. If I am counting in binary, what is 11111 plus 1?
2. If I am counting in binary, what is 11111 plus 11?
3. Write the number 12 (base 10) in binary
4. Write the number 1101011 (binary) in decimal.
5. If I were a Mayan, how would I write the number 25 (base 10)?
6. True or false – all odd binary numbers end in 1?
Links
Mayan numbers:http://en.wikipedia.org/wiki/Maya_numerals
Hindu-Arabic number system:http://en.wikipedia.org/wiki/Hindu-Arabic_numeral_system