base 2 base 16

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Pamela Leutwyler

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base 2 base 16. Pamela Leutwyler. 8 B 6 16 = ___________________ 2. Base 16 pebble board. 8 B 6 16 = ___________________ 2. Base 2 pebble board. Base 16 pebble board. 8 B 6 16 = ___________________ 2. Base 2 pebble board. Base 16 pebble board. 8 B 6 16 = ___________________ 2. - PowerPoint PPT Presentation

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Page 1: base 2 base 16

Pamela Leutwyler

Page 2: base 2 base 16

8B616 = ___________________2

Page 3: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = ___________________2

Page 4: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = ___________________2

Page 5: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = ___________________2

Page 6: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = ___________________2

Page 7: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = ___________________2

Page 8: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = ___________________2

Page 9: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = ___________________2

Page 10: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = ___________________2

Page 11: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = 1 0 0 0 1 0 1 1 0 1 1 02

Page 12: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = 1 0 0 0 1 0 1 1 0 1 1 02

Page 13: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

8B616 = 1 0 0 0 1 0 1 1 0 1 1 02

Page 14: base 2 base 16

8B616 = 1 0 0 0 1 0 1 1 0 1 1 02

Starting from the right, every digit of a base 16 numeral corresponds to 4 digits of its base 2 counterpart

Page 15: base 2 base 16

101110100112 = _________16

Page 16: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = _________16

Page 17: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = _________16

Page 18: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = _________16

Page 19: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = _________16

Page 20: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = _________16

Page 21: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = _________16

Page 22: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = _________16

Page 23: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = _________16

Page 24: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = _5 D 316

Page 25: base 2 base 16

211 210 29 28 27 26 25 24 23 22 2 1

Base 2 pebble board

Base 16 pebble board

162 16 1

1 0 1 1 1 0 1 0 0 1 12 = 5 D 316

Page 26: base 2 base 16

1 0 1 1 1 0 1 0 0 1 12 = 5 D 316

Starting from the right, every digit of a base 16 numeral corresponds to 4 digits of its base 2 counterpart

Page 27: base 2 base 16

reference table

Page 28: base 2 base 16

Base 10

& 1&& 2&&& 3&&&& 4&&&&& 5&&&&&& 6&&&&&&& 7&&&&&&&& 8&&&&&&&&& 9&&&&&&&&&& 10&&&&&&&&&&& 11&&&&&&&&&&&& 12&&&&&&&&&&&&& 13&&&&&&&&&&&&&& 14&&&&&&&&&&&&&&& 15

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

Page 29: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = ______________2

7 3 C

Page 30: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = ______________2

7 3 C

1 1 0 0

Page 31: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = ______________2

7 3 C

1 1 0 0

Page 32: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = ______________2

7 3 C

1 1 1 1 0 0

Page 33: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = ______________2

7 3 C

0 0 1 1 1 1 0 0

empty piles

Page 34: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = ______________2

7 3 C

0 0 1 1 1 1 0 0

Page 35: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = ______________2

7 3 C

1 1 1 0 0 1 1 1 1 0 0

Page 36: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = ______________2

7 3 C

1 1 1 0 0 1 1 1 1 0 0

Page 37: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = 1 1 1 0 0 1 1 1 1 0 022

7 3 C

1 1 1 0 0 1 1 1 1 0 0

Page 38: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

7 3 C 16 = 1 1 1 0 0 1 1 1 1 0 02

7 3 C

1 1 1 0 0 1 1 1 1 0 0

Page 39: base 2 base 16
Page 40: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

1 0 1 1 0 0 1 1 1 0 1 2 = ______16

Page 41: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

5 9 D

1 0 1 1 0 0 1 1 1 0 1

1 0 1 1 0 0 1 1 1 0 1 2 = 5 9 D 16

Page 42: base 2 base 16
Page 43: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

E 2 A 16 = ________________ 2

Page 44: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

E 2 A 16 = 1 1 1 0 0 0 1 01 0 1 0 2

E 2 A

1 1 1 0 0 0 1 0 1 0 1 0

Page 45: base 2 base 16
Page 46: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

1 1 0 1 1 1 0 0 1 0 0 1 2 = ______16

Page 47: base 2 base 16

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

D C 9

1 1 0 1 1 1 0 0 1 0 0 1

1 1 0 1 1 1 0 0 1 0 0 1 2 = D C 916

Page 48: base 2 base 16

Base 10

& 1&& 2&&& 3&&&& 4&&&&& 5&&&&&& 6&&&&&&& 7&&&&&&&& 8&&&&&&&&& 9&&&&&&&&&& 10&&&&&&&&&&& 11&&&&&&&&&&&& 12&&&&&&&&&&&&& 13&&&&&&&&&&&&&& 14&&&&&&&&&&&&&&& 15

Base 16 Base 2

1 12 1 03 1 14 1 0 05 1 0 16 1 1 07 1 1 18 1 0 0 09 1 0 0 1A 1 0 1 0B 1 0 1 1C 1 1 0 0D 1 1 0 1E 1 1 1 0F 1 1 1 1

You can print this for reference.