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#14: Post edited by user avatar trichoplax‭ · 2022-09-19T16:05:52Z (about 2 years ago)
Add finalized tag, edit title, link to posted challenge
  • 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
  • ```
#13: Post edited by user avatar trichoplax‭ · 2022-09-19T15:02:18Z (about 2 years ago)
Remove ambiguity from opening sentence
  • 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 user avatar trichoplax‭ · 2022-09-19T15:00:29Z (about 2 years ago)
Slight wording improvement
  • 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 user avatar trichoplax‭ · 2022-09-19T14:39:27Z (about 2 years ago)
Avoid confusion as N is not a valid digit
  • 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 user avatar trichoplax‭ · 2022-09-19T14:31:34Z (about 2 years ago)
Remove one more "assumed"
  • 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 user avatar trichoplax‭ · 2022-09-19T14:29:44Z (about 2 years ago)
Rephrase the output section to avoid the word "assume"
  • 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 user avatar trichoplax‭ · 2022-09-19T14:25:28Z (about 2 years ago)
Clarify output section on leading zeroes
  • 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 user avatar trichoplax‭ · 2022-09-18T16:57:05Z (about 2 years ago)
Add a unary test case
  • 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 user avatar trichoplax‭ · 2022-09-18T16:48:20Z (about 2 years ago)
Clarify output section
  • 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 user avatar trichoplax‭ · 2022-09-18T16:43:14Z (about 2 years ago)
Improve example calculation
  • 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 user avatar trichoplax‭ · 2022-09-18T16:07:02Z (about 2 years ago)
Fix incorrect test cases
  • 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 user avatar trichoplax‭ · 2022-09-18T16:01:10Z (about 2 years ago)
Split specification into input and output sections
  • 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 user avatar trichoplax‭ · 2022-09-16T13:46:41Z (about 2 years ago)
Number the list of specifications to make answering queries clearer
  • 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 user avatar trichoplax‭ · 2022-09-15T23:05:11Z (about 2 years ago)
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
```