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examples When computing in other bases, think in the base 10.

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Presentation on theme: "examples When computing in other bases, think in the base 10."— Presentation transcript:

1 examples When computing in other bases, think in the base 10.
Pamela Leutwyler

2 Base 7 Base 10 Base 7 5 37 4 67 + 8 27

3 Base 7 Base 10 Base 7 3+6+2= 11 14 5 37 4 67 + 8 27

4 Base 7 Base 10 Base 7 3+6+2= 11 14 1 5 37 4 67 + 8 27 47

5 Base 7 Base 10 Base 7 3+6+2= 11 14 1 5 37 4 67 + 8 27 47

6 Base 7 Base 10 Base 7 3+6+2= 11 14 1+5+4 +8= 18 24 1 5 37 4 67 + 8 27 47

7 Base 7 Base 10 Base 7 3+6+2= 11 14 1+5+4 +8= 18 24 2 1 5 37 4 67 + 8 27 47

8 Base 7 Base 10 Base 7 3+6+2= 11 14 1+5+4 +8= 18 24 2 1 5 37 4 67 + 8 27 47

9

10 Base 4 Base 4 Base 10 1 14 - 34

11 1 14 - 34 Base 4 You cannot remove 3 pebbles from pile one borrow
14 - 34 You cannot remove 3 pebbles from pile one borrow

12 ? 1 14 - 34 Base 4 You cannot remove 3 pebbles from pile one borrow
14 - 34 You cannot remove 3 pebbles from pile one borrow borrow

13 1 14 - 34 Base 4 You cannot remove 3 pebbles from pile one borrow
14 - 34 You cannot remove 3 pebbles from pile one borrow borrow

14 Base 4 Base 4 Base 10 1 14 - 34 1

15 Base 4 Base 4 Base 10 10 4 1 14 - 34 4 1

16 Base 4 Base 4 Base 10 10 4 1 14 - 34 3 4 1 1

17 Base 4 Base 4 Base 10 10 4 11 5 1 14 - 34 3 4 5 1 1

18 Base 4 Base 4 Base 10 10 4 11 5 1 14 - 34 2 3 4 5 1 1 In the base 4, 114 – 34 = 24 Think in base 10 = 2

19 Base 4 Base 4 Base 10 10 4 11 5 1 14 - 34 3 24 3 4 5 1 1

20

21 Base 8 Base 10 Base 8 7 68 x 1 58

22 Base 8 Base 10 Base 8 5x6= 30 36 7 68 x 1 58

23 Base 8 Base 10 Base 8 5x6= 30 36 3 7 68 x 1 58 6

24 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 3 7 68 x 1 58 6

25 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 4 3 7 68 x 1 58 6

26 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 7 68 x 1 58 4 6

27 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 7 68 x 1 58 4 6

28 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 7 68 x 1 58 4 6

29 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 7 68 x 1 58 4 6

30 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 6+6= 12 14 7 68 x 1 58 4 6 Add in the base 8

31 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 6+6= 12 14 7 68 x 1 58 4 6 1 Add in the base 8

32 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 6+6= 12 14 1+4+7= 7 68 x 1 58 4 6 1 Add in the base 8

33 Base 8 Base 10 Base 8 5x6= 30 36 (5x7) +3 38 46 6+6= 12 14 1+4+7= 7 68 x 1 58 4 6 1


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