C oncepts positional number systems base radix This work is licensed under a Creative Commons AttributionNoncommercialShare Alike 30 License Counting number systems Where does this topic fit ID: 709145
Download Presentation The PPT/PDF document "S kills : counting using any number syst..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
S
kills: counting using any number systemConcepts: positional number systems, base (radix)
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
Counting (
number systems)Slide2
Where does this topic fit?Internet conceptsApplicationsTechnologyImplicationsInternet skills
Application developmentContent creationUser skillsSlide3Slide4
0 1 2 3 … 9
Using decimal numbers to count stonesSlide5
__
5
European
Arabic-Indic
Persian and Urdu
Hindi
Tamil
MayanSlide6
?
One more stoneSlide7
Zero, carry 1
10Slide8
20Slide9
23Slide10
29Slide11
30Slide12
99Slide13
100Slide14
250Slide15
110100
1,00010,000100,000Number positions
…Slide16
110
10022825
02
x 100 = 200
5
x 10 =
50
0
x 1 =
0
250Slide17
Mayan base 20 glyphsSlide18
Binary: base 2
Hexadecimal: base 16Slide19
0 1
0 1 2 3 4 5 6 7 8 9 A B C D E FSlide20
0123456789101112
1314151617181920210123456789ABC
DEF101112132425…
…
255
FF
Decimal counting
Hexadecimal counting
0
1
10
11
100
101
110111100010011010101111001101
11101111100001000110010100111010010101…
11111111BinarycountingSlide21
124
81632Binary number positions
…Slide22
12
481632
A binary example1 0 1 1 0 1
1
x 32 = 32
0
x 16 = 0
1
x 8 = 8
1 x 4 = 4
0 x 2 = 0
1 x 1 =
1
45Slide23
116256
4,09665,5361,048,576Hexadecimal number positions
…Slide24
116
256A hexadecimal example3 6 B
3 x 256 = 7686 x 16 = 96B x 1 = 11 875Slide25
Base 20
Base 10
Base 16
Base 2
SummarySlide26
Self study questionsIf I am counting in binary, what is 11111 plus 1?If I am counting in binary, what is 11111 plus
11?If I am counting in hexadecimal, what is FFFFF plus 1?If I am counting in hexadecimal, what is aa3 plus 3?If I am counting in hexadecimal, what is FFFFF plus F?Write the number 12 (base 10) in binary, hexadecimal and trinary (base 3)
Write the number 1101011 (binary) in decimal, hexadecimal and trinary.If I were a Mayan, how would I write the number 550 (base 10)?True or false – all odd binary numbers end in 1?Slide27
LinksMayan numbers:http://en.wikipedia.org/wiki/Maya_numeralsHindu-Arabic number system:
http://en.wikipedia.org/wiki/Hindu-Arabic_numeral_system