base 2 base 16

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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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Pamela Leutwyler

8B616 = ___________________2

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

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

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

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

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

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

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

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

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

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

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

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

101110100112 = _________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

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

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

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

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

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

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

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

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

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

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

reference table

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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