Guess That Number System!
How It Works:
You get to see a list with the decimal notation next to it, and then have to guess what the rule for the numbers is.
0
example 0
1
example 1
2
example 2
3
example 3
4
example 4
5
example 5
6
example 6
7
example 7
8
example 8
9
example 9
10
example a
11
example b
12
example c
13
example d
14
example e
15
example f
16
example g
17
example h
18
example i
19
example j
20
example k
21
example l
22
example m
23
example n
All systems have a guaranteed notation for every positive integer from one to infinity
No number has more than 1 way one way to write a given integer
Systems will use Arabic numerals with any additional characters being filled in by Latin characters
try to figure out how it works before looking at the answerwikipedia - Numeral system
As a refresher:
Classic number bases behave as follows, though not all systems shown will fit this mould
wikipedia - Positional notation
System 1
0
1
1
2
11
3
111
4
1111
5
11111
6
111111
7
1111111
8
11111111
9
111111111
10
1111111111
11
11111111111
12
111111111111
13
1111111111111
14
11111111111111
15
111111111111111
16
1111111111111111
17
11111111111111111
18
111111111111111111
19
1111111111111111111
20
11111111111111111111
21
111111111111111111111
22
1111111111111111111111
23
11111111111111111111111
Hint (hover to reveal)
this is the most simple possible number system
System 10
0
0
1
1
2
10
3
11
4
100
5
101
6
110
7
111
8
1000
9
1001
10
1010
11
1011
12
1100
13
1101
14
1110
15
1111
16
10000
17
10001
18
10010
19
10011
20
10100
21
10101
22
10110
23
10111
24
11000
25
11001
26
11010
27
11011
28
11100
29
11101
30
11110
31
11111
32
100000
33
100001
34
100010
35
100011
Hint (hover to reveal)
you can count the symbols for most standard bases
System 3
0
0
1
1
2
2
3
3
4
4
5
5
6
6
7
7
8
10
9
11
10
12
11
13
12
14
13
15
14
16
15
17
16
20
17
21
18
22
19
23
20
24
21
25
22
26
23
27
24
30
25
31
26
32
27
33
28
34
29
35
30
36
31
37
32
40
33
41
34
42
35
43
Hint (hover to reveal)
you can count the symbols for most standard bases
System 10000
0
0
1
1
2
100
3
101
4
10000
5
10001
6
10100
7
10101
8
1000000
9
1000001
10
1000100
11
1000101
12
1010000
13
1010001
14
1010100
15
1010101
16
100000000
17
100000001
18
100000100
19
100000101
20
100010000
21
100010001
22
100010100
23
100010101
Hint (hover to reveal)
remember that each position is a power of the base
Hint 2 (hover to reveal)
a square-root to any even power is a whole number
System 101
0
0
1
1
2
110
3
111
4
100
5
101
6
11010
7
11011
8
11000
9
11001
10
11110
11
11111
12
11100
13
11101
14
10010
15
10011
16
10000
17
10001
18
10110
19
10111
20
10100
21
10101
22
1101010
23
1101011
24
1101000
25
1101001
26
1101110
27
1101111
28
1101100
29
1101101
30
1100010
31
1100011
32
1100000
33
1100001
34
1100110
35
1100111
Hint (hover to reveal)
bases don't need to be >1
System 1-0
0
0
1
1
2
1-
3
10
4
11
5
1--
6
1-0
7
1-1
8
10-
9
100
10
101
11
11-
12
110
13
111
14
1---
15
1--0
16
1--1
17
1-0-
18
1-00
19
1-01
20
1-1-
21
1-10
22
1-11
23
10--
24
10-0
25
10-1
26
100-
27
1000
28
1001
29
101-
30
1010
31
1011
32
1---
33
1--0
34
1--1
35
1-0-
Hint (hover to reveal)
uses a slightly different flavor of positional notation
Hint 2 (hover to reveal)
the minus sign is in fact negative one
System 1000
0
1
0
2
1
3
10
4
2
5
100
6
11
7
1000
8
3
9
20
10
101
11
10000
12
110
13
100000
14
1001
15
110
16
4
17
1000000
18
21
19
10000000
20
102
21
1010
22
10001
23
100000000
24
13
25
200
26
100001
27
30
28
1002
29
1000000000
30
111
31
10000000000
32
5
33
10010
34
1000001
35
1100
37
100000000000
41
1000000000000
64
6
Hint (hover to reveal)
doesnt use classic positional notation
Hint 2 (hover to reveal)
look at when a new digit place is used
System 110
0
0
1
1
2
10
3
11
4
20
5
21
6
100
7
101
8
110
9
111
10
120
11
121
12
200
13
201
14
210
15
211
16
220
17
221
18
300
19
301
20
310
21
311
22
320
23
321
24
1000
25
1001
26
1010
27
1011
28
1020
29
1021
30
1100
31
1101
32
1110
33
1111
34
1120
35
1121
Hint (hover to reveal)
consider each number place's numerical worth
System 4.1
0
0
1
1
2
2
3
3
4
4
5
0.1
6
1.1
7
2.1
8
3.1
9
4.1
10
0.2
11
1.2
12
2.2
13
3.2
14
4.2
15
0.3
16
1.3
17
2.3
18
3.3
19
4.3
20
0.4
21
1.4
22
2.4
23
3.4
24
4.4
25
0.01
26
1.01
27
2.01
28
3.01
29
4.01
30
0.11
31
1.11
32
2.11
33
3.11
34
4.11
35
0.21
Hint (hover to reveal)
not a whole numbered base
System 10202
0
0
1
1
2
2
3
3
4
10300
5
10301
6
10302
7
10303
8
10200
9
10201
10
10202
11
10203
12
10100
13
10101
14
10102
15
10103
16
10000
17
10001
18
10002
19
10003
20
20300
21
20301
22
20302
23
20303
24
20200
25
20201
26
20202
27
20203
28
20100
29
20101
30
20102
31
20103
32
20000
33
20001
34
20002
35
20003
Hint (hover to reveal)
think back to the previous weird bases
System ~101.0110
0
0.0000
1
1.0000
2
2.0000
3
3.0000
4
~10.2202
5
~11.2202
6
~12.2202
7
~20.2021
8
~21.2021
9
~22.2021
10
~100.0102
11
~101.0110
12
~102.0110
13
~103.0110
14
~110.3010
15
~111.3010
16
~112.3010
17
~120.2200
18
~121.2201
19
~122.2201
20
~200.0212
21
~201.0212
22
~202.0212
23
~210.0102
Hint (hover to reveal)
is roughly equals due to not being rational
System 100000.101001
0
0.0000
1
1.0000
2
10.0100
3
100.0100
4
101.0100
5
1000.1001
6
1010.0001
7
10000.0001
8
10001.0001
9
10010.0101
10
10100.0101
11
10101.0101
12
100000.101001
13
100010.001001
14
100100.001000
15
100101.001001
16
101000.100001
17
101010.000001
18
1000000.000001
19
1000001.000001
20
1000010.010001
21
1000100.010001
22
1000101.010001
23
1001000.100101
Hint (hover to reveal)
very similar to the previous one
System 41
0
0
1
1
2
2
3
10
4
11
5
12
6
20
7
21
8
22
9
30
10
31
11
32
12
40
13
41
14
42
15
50
16
51
17
52
18
60
19
61
20
62
21
70
22
71
23
72
24
80
25
81
26
82
27
100
28
101
29
102
30
110
31
111
32
112
33
120
34
121
35
122
Hint (hover to reveal)
Related to positional numeral system's exponents
Thanks for playing!
![[IMAGE] sorry this image didnt work, this could be a page error, web browser error or disability setting, this page will not be understandable without image context, my apologies](images/positionalNotation.png)