computation

1
computation in other bases addition
Pamela Leutwyler
2
base 10 example
Examine the familiar base 10 algorithm.
Addition in other bases works the same way.
Base 10 pebble board rule
Each set of 10 pebbles must be replaced with 1
pebble in the next pile.
3

Base 10
7 8
9 6

4

Base 10
7 8
9 6

5

Base 10
7 8
9 6

6

Base 10
7 8
9 6

Each set of 10 pebbles must be replaced with 1
pebble in the next pile.
7

Base 10
7 8
9 6

Each set of 10 pebbles must be replaced with 1
pebble in the next pile.
8

Base 10
1
7 8
9 6
4
Put down 4 Carry 1
Each set of 10 pebbles must be replaced with 1
pebble in the next pile.
9

Base 10
1
7 8
9 6
4
Each set of 10 pebbles must be replaced with 1
pebble in the next pile.
10

Base 10
1
7 8
9 6
4
Each set of 10 pebbles must be replaced with 1
pebble in the next pile.
11

Base 10
1
7 8
9 6
4
Each set of 10 pebbles must be replaced with 1
pebble in the next pile.
12

Base 10
1
1
7 8
9 6
7 4
Each set of 10 pebbles must be replaced with 1
pebble in the next pile.
13

Base 10
1
1
7 8
9 6
1 7 4
14

Base 10
1
1
7 8
9 6
1 7 4
15
base 5 example
Base 5 pebble board rule
Each set of 5 pebbles must be replaced with 1
pebble in the next pile.
16

Base 5
4 35
2 45

17

Base 5
4 35
2 45

18

Base 5
4 35
2 45

19

Base 5
4 35
2 45

Each set of 5 pebbles must be replaced with 1
pebble in the next pile.
20

Base 5
4 35
2 45

Each set of 5 pebbles must be replaced with 1
pebble in the next pile.
21

Base 5
1
4 35
2 45
2
Each set of 5 pebbles must be replaced with 1
pebble in the next pile.
22

Base 5
1
4 35
2 45
2
Each set of 5 pebbles must be replaced with 1
pebble in the next pile.
23

Base 5
1
4 35
2 45
2
Each set of 5 pebbles must be replaced with 1
pebble in the next pile.
24

Base 5
1
4 35
2 45
2
Each set of 5 pebbles must be replaced with 1
pebble in the next pile.
25

Base 5
1
1
4 35
2 45
2 2
Each set of 5 pebbles must be replaced with 1
pebble in the next pile.
26

Base 5
1
1
4 35
2 45
1 2 2
Each set of 5 pebbles must be replaced with 1
pebble in the next pile.
27

Base 5
1
1
4 35
2 45
1 2 2
Each set of 5 pebbles must be replaced with 1
pebble in the next pile.