Code Golf

#14: Post edited by

trichoplax‭ · 2022-09-19T16:05:52Z (over 2 years ago)
Add finalized tag, edit title, link to posted challenge

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~~Presumptuous base conversion~~

Presumptuous base conversion [FINALIZED]

Take an input string representing a number and convert it to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is represented by N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

# Now posted: [Presumptuous base conversion](https://codegolf.codidact.com/posts/287035)
---
Take an input string representing a number and convert it to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is represented by N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

code-golf math number base parsing

code-golf number finalized base parsing

#13: Post edited by

trichoplax‭ · 2022-09-19T15:02:18Z (over 2 years ago)
Remove ambiguity from opening sentence

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Convert an input string representing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is represented by N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

Take an input string representing a number and convert it to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is represented by N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

#12: Post edited by

trichoplax‭ · 2022-09-19T15:00:29Z (over 2 years ago)
Slight wording improvement

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~~Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.~~
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is represented by N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

Convert an input string representing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is represented by N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

#11: Post edited by

trichoplax‭ · 2022-09-19T14:39:27Z (over 2 years ago)
Avoid confusion as N is not a valid digit

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
~~- If the highest digit in the input is N, then the input is to be treated as being in base N+1~~
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is represented by N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

#10: Post edited by

trichoplax‭ · 2022-09-19T14:31:34Z (over 2 years ago)
Remove one more "assumed"

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
~~- Apart from inputs assumed to be in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"~~
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

#9: Post edited by

trichoplax‭ · 2022-09-19T14:29:44Z (over 2 years ago)
Rephrase the output section to avoid the word "assume"

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
~~- If the highest digit in the input is N, then assume the input is in base N+1~~
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
~~- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input~~
- Apart from inputs assumed to be in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then the input is to be treated as being in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then the input is to be treated as being in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

#8: Post edited by

trichoplax‭ · 2022-09-19T14:25:28Z (over 2 years ago)
Clarify output section on leading zeroes

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes make no difference to the output. Both "11" and "000011" lead to output "3"
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

#7: Post edited by

trichoplax‭ · 2022-09-18T16:57:05Z (over 2 years ago)
Add a unary test case

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
~~## Example~~
If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
## Examples
- If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
- If the input is **000** then the highest digit is **0** so the input is in base 1 (unary). The output is 3, which is simply the length of the unary input
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

#6: Post edited by

trichoplax‭ · 2022-09-18T16:48:20Z (over 2 years ago)
Clarify output section

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
## Example
If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- For this challenge, the letters A to F count as "digits". So if the highest digit in the input is B, which represents 11, then the input is in base 12
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
## Example
If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

#5: Post edited by

trichoplax‭ · 2022-09-18T16:43:14Z (over 2 years ago)
Improve example calculation

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
## Example
If the input is **53** then the highest digit is **5**, so the input is in base 6. The output is 33, calculated as **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
## Example
If the input is **453** then the highest digit is **5**, so the input is in base 6. The output is 177, calculated as **4**[]()\*6\*6 + **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
453 : 177
```

#4: Post edited by

trichoplax‭ · 2022-09-18T16:07:02Z (over 2 years ago)
Fix incorrect test cases

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
## Example
If the input is **53** then the highest digit is **5**, so the input is in base 6. The output is 33, calculated as **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
~~20 : 3~~
22 : 8
65 : 47
99 : 99
~~AA : 121~~
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
## Example
If the input is **53** then the highest digit is **5**, so the input is in base 6. The output is 33, calculated as **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 6
22 : 8
65 : 47
99 : 99
AA : 120
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
```

#3: Post edited by

trichoplax‭ · 2022-09-18T16:01:10Z (over 2 years ago)
Split specification into input and output sections

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Specification
~~1. The input consists of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15~~
~~1. The answerer may choose to take lower case input instead~~
~~1. If the highest digit in the input is N, then the input is in base N+1~~
~~1. In particular, if the highest digit is 0, then the input is in base 1 (unary) and the output is the number of digits in the input~~
~~1. The input will sometimes have leading zeroes~~
~~1. Apart from inputs in base 1 (unary), leading zeroes are ignored~~
## Example
If the input is **53** then the highest digit is **5**, so the input is in base 6. The output is 33, calculated as **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 3
22 : 8
65 : 47
99 : 99
AA : 121
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Input
- The input consists only of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- The input will always contain at least one character (it will never be empty)
- The input will sometimes have one or more leading zeroes
## Output
- If the highest digit in the input is N, then assume the input is in base N+1
- In particular, if the highest digit in the input is 0, then assume the input is in base 1 (unary), so the output is the number of digits in the input
- Apart from inputs assumed to be in base 1 (unary), leading zeroes are ignored
## Example
If the input is **53** then the highest digit is **5**, so the input is in base 6. The output is 33, calculated as **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 3
22 : 8
65 : 47
99 : 99
AA : 121
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
```

#2: Post edited by

trichoplax‭ · 2022-09-16T13:46:41Z (over 2 years ago)
Number the list of specifications to make answering queries clearer

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Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Specification
~~- The input consists of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15~~
~~- The answerer may choose to take lower case input instead~~
~~- If the highest digit in the input is N, then the input is in base N+1~~
~~- In particular, if the highest digit is 0, then the input is in base 1 (unary) and the output is the number of digits in the input~~
~~- The input will sometimes have leading zeroes~~
~~- Apart from inputs in base 1 (unary), leading zeroes are ignored~~
## Example
If the input is **53** then the highest digit is **5**, so the input is in base 6. The output is 33, calculated as **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 3
22 : 8
65 : 47
99 : 99
AA : 121
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
```

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.
## Specification
1. The input consists of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
1. The answerer may choose to take lower case input instead
1. If the highest digit in the input is N, then the input is in base N+1
1. In particular, if the highest digit is 0, then the input is in base 1 (unary) and the output is the number of digits in the input
1. The input will sometimes have leading zeroes
1. Apart from inputs in base 1 (unary), leading zeroes are ignored
## Example
If the input is **53** then the highest digit is **5**, so the input is in base 6. The output is 33, calculated as **5***6 + **3**
## Test cases
Test cases are in the form `input : output`
```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 3
22 : 8
65 : 47
99 : 99
AA : 121
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
```

#1: Initial revision by

trichoplax‭ · 2022-09-15T23:05:11Z (over 2 years ago)

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Presumptuous base conversion

Convert an input string containing a number to decimal (base 10). However, the base of the input is **not** specified. Assume the input is in the smallest base for which its digits are valid.

## Specification
- The input consists of characters from 0123456789ABCDEF where A to F represent the decimal numbers 10 to 15
- The answerer may choose to take lower case input instead
- If the highest digit in the input is N, then the input is in base N+1
- In particular, if the highest digit is 0, then the input is in base 1 (unary) and the output is the number of digits in the input
- The input will sometimes have leading zeroes
- Apart from inputs in base 1 (unary), leading zeroes are ignored

## Example
If the input is **53** then the highest digit is **5**, so the input is in base 6. The output is 33, calculated as **5***6 + **3**

## Test cases
Test cases are in the form `input : output`

```text
0 : 1
1 : 1
9 : 9
A : 10
E : 14
F : 15
00 : 2
01 : 1
10 : 2
11 : 3
02 : 2
20 : 3
22 : 8
65 : 47
99 : 99
AA : 121
B8 : 140
000 : 3
00F : 15
0D0 : 182
C00 : 2028
123 : 27
ABC : 1845
777 : 511
```

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