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S kills : counting with decimal and binary numbers

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.

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S kills : counting with decimal and binary numbers

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  1. Representing numeric data with bits Skills: 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 This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

  2. Where does this topic fit? • Internet concepts • Applications • Technology • Implications • Internet skills • Application development • Content creation • User skills

  3. Encoding numeric data

  4. Using decimal numbers to count stones 0 1 2 3 … 9

  5. One more stone ?

  6. Zero, carry 1 10

  7. Add 1 to the 1’s position 11

  8. 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 ... 90 91 92 93 94 95 96 97 98 99 100 101 ...

  9. Using binary numbers to count stones 1 10 101 11 100 110

  10. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 10 11 100 101 110 111 1000 1001 1010 1011 1100 1101 1110 1111 10000 10001 10010 10011 10100 10101 Counting with decimal and binary numbers … …

  11. 250

  12. 11111010

  13. Convert 11111010 (binary) to decimal 1 x 128 = 128 1 x 64 = 64 1 x 32 = 32 1 x 16 = 16 1 x 8 = 8 0 x 4 = 0 1 x 2 = 2 0 x 1 = 0 Total = 250 11111010 (binary) = 250 (decimal)

  14. Mayan base 20 symbols

  15. Summary 99 or 1100011

  16. Self study questions If I am counting in binary, what is 11111 plus 1? If I am counting in binary, what is 11111 plus 11? Write the number 12 (base 10) in binary Write the number 1101011 (binary) in decimal. If I were a Mayan, how would I write the number 25 (base 10)? True or false – all odd binary numbers end in 1?

  17. Links Mayan numbers: http://en.wikipedia.org/wiki/Maya_numerals Hindu-Arabic number system: http://en.wikipedia.org/wiki/Hindu-Arabic_numeral_system

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