Base 2 base 16 Pamela Leutwyler.

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Presentation transcript:

base 2 base 16 Pamela Leutwyler

8B616 = ___________________2

8B616 = ___________________2 162 16 1 Base 16 pebble board 8B616 = ___________________2 211 210 29 28 27 26 25 24 23 22 2 1 Base 2 pebble board

8B616 = ___________________2 162 16 1 Base 16 pebble board 8B616 = ___________________2 211 210 29 28 27 26 25 24 23 22 2 1 Base 2 pebble board

8B616 = ___________________2 162 16 1 Base 16 pebble board 8B616 = ___________________2 211 210 29 28 27 26 25 24 23 22 2 1 Base 2 pebble board

8B616 = ___________________2 162 16 1 Base 16 pebble board 8B616 = ___________________2 211 210 29 28 27 26 25 24 23 22 2 1 Base 2 pebble board

8B616 = ___________________2 162 16 1 Base 16 pebble board 8B616 = ___________________2 211 210 29 28 27 26 25 24 23 22 2 1 Base 2 pebble board

8B616 = ___________________2 162 16 1 Base 16 pebble board 8B616 = ___________________2 211 210 29 28 27 26 25 24 23 22 2 1 Base 2 pebble board

8B616 = ___________________2 162 16 1 Base 16 pebble board 8B616 = ___________________2 211 210 29 28 27 26 25 24 23 22 2 1 Base 2 pebble board

8B616 = ___________________2 162 16 1 Base 16 pebble board 8B616 = ___________________2 211 210 29 28 27 26 25 24 23 22 2 1 Base 2 pebble board

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

162 16 1 Base 16 pebble board 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

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 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1

7 3 C 7 3 C 16 = ______________2 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C

7 3 C 1 7 3 C 16 = ______________2 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C 1

7 3 C 1 7 3 C 16 = ______________2 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C 1

7 3 C 1 7 3 C 16 = ______________2 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C 1

7 3 C 1 7 3 C 16 = ______________2 empty piles Base 16 Base 2 1 2 1 0 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C 1 empty piles

7 3 C 1 7 3 C 16 = ______________2 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C 1

7 3 C 1 7 3 C 16 = ______________2 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C 1

7 3 C 1 7 3 C 16 = ______________2 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C 1

7 3 C 16 = 1 1 1 0 0 1 1 1 1 0 022 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C 1

7 3 C 16 = 1 1 1 0 0 1 1 1 1 0 02 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 7 3 C 1

1 0 1 1 0 0 1 1 1 0 1 2 = ______16 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1

1 0 1 1 0 0 1 1 1 0 1 2 = 5 9 D 16 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 5 9 D 1

E 2 A 16 = ________________ 2 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1

E 2 A 16 = 1 1 1 0 0 0 1 01 0 1 0 2 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 E 2 A 1

1 1 0 1 1 1 0 0 1 0 0 1 2 = ______16 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1

1 1 0 1 1 1 0 0 1 0 0 1 2 = D C 916 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 D C 9 1

Base 10 & 1 && 2 &&& 3 &&&& 4 &&&&& 5 &&&&&& 6 &&&&&&& 7 &&&&&&&& 8 &&&&&&&&& 9 &&&&&&&&&& 10 &&&&&&&&&&& 11 &&&&&&&&&&&& 12 &&&&&&&&&&&&& 13 &&&&&&&&&&&&&& 14 &&&&&&&&&&&&&&& 15 Base 16 Base 2 1 2 1 0 3 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 8 1 0 0 0 9 1 0 0 1 A 1 0 1 0 B 1 0 1 1 C 1 1 0 0 D 1 1 0 1 E 1 1 1 0 F 1 1 1 1 You can print this for reference.