Skills: counting using any number systemConcepts: positional number systems, base (radix)
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Counting (number systems)
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0123456789101112131415161718192021
0123456789ABCDEF101112132425… …
255 FF
Decimal counting
Hexadecimal counting
01101110010111011110001001101010111100110111101111100001000110010100111010010101…11111111
Binarycounting
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. If I am counting in hexadecimal, what is FFFFF plus 1?
4. If I am counting in hexadecimal, what is aa3 plus 3?
5. If I am counting in hexadecimal, what is FFFFF plus F?
6. Write the number 12 (base 10) in binary, hexadecimal and trinary (base 3)
7. Write the number 1101011 (binary) in decimal, hexadecimal and trinary.
8. If I were a Mayan, how would I write the number 550 (base 10)?
9. 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