Code Golf

#14: Post edited by

trichoplax‭ · 2022-09-19T16:05:52Z (over 1 year ago)
Add finalized tag, edit title, link to posted challenge

Copy Link

Raw

Markdown

~~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 1 year ago)
Remove ambiguity from opening sentence

Copy Link

Raw

Markdown

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 1 year ago)
Slight wording improvement

Copy Link

Raw

Markdown

~~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 1 year ago)
Avoid confusion as N is not a valid digit

Copy Link

Raw

Markdown

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 1 year ago)
Remove one more "assumed"

Copy Link

Raw

Markdown

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 1 year ago)
Rephrase the output section to avoid the word "assume"

Copy Link

Raw

Markdown

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 1 year ago)
Clarify output section on leading zeroes

Copy Link

Raw

Markdown

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 1 year ago)
Add a unary test case

Copy Link

Raw

Markdown

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 1 year ago)
Clarify output section

Copy Link

Raw

Markdown

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 1 year ago)
Improve example calculation

Copy Link

Raw

Markdown

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 1 year ago)
Fix incorrect test cases

Copy Link

Raw

Markdown

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 1 year ago)
Split specification into input and output sections

Copy Link

Raw

Markdown

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 1 year ago)
Number the list of specifications to make answering queries clearer

Copy Link

Raw

Markdown

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 1 year ago)

Copy Link

Raw

Markdown

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
```

code-golf math number base parsing

Communities

Post History