# Questions tagged [base-conversion]

Conversion of numbers between positional numeral systems. Most common systems are decimal, binary, hexadecimal etc.

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### Digital Sumorial

Given an input n, write a program or function that outputs/returns the sum of the digital sums of n for all the bases 1 to ...
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### convert decimal to duodecimal

The task is to convert a string representing a number in decimal (base 10) representation to duodecimal (base 12). The input is thus a string, the output should be printed. The input number can be ...
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### Permutation Encoding

Write a program which can encode text to avoid reusing characters, and convert back. Both normal and encoded forms are restricted to a particular character set: the space character ...
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### Custom Number Base Converter

The powers that be want to be able to quickly convert any number they have into their own number base using any format they would like. Input Your program must accept 3 parameters. Number: The ...
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### Increment base-36 strings

This is a code golf version of a similar question I asked on stack earlier but thought it'd be an interesting puzzle. Given a string of length 10 which represents a base 36 number, increment it by one ...
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### ASCII art uncompression from a base-n number

This is inspired by an 05AB1E answer by Magic Octupus Urn. Given two arguments, a positive integer and a string/list of characters: Translate the number to base-n, where n is the length of the ...
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### Divide them all [duplicate]

A Math.SE user have a funny game explained as such: Pick a random positive integer X. Add +1, 0, -1 to make it divisible by 3Keep track of how much you've added and subtracted. That is your "...
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### Hexadecimal, octal, binary, oh my! [duplicate]

This is a code golf puzzle: shortest byte count wins. The program should do the following (standard loopholes obviously forbidden): Input a hexadecimal number Convert to octal Then interpret the ...
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### What are these letters?

So what might be the shortest language for this simple task? Task: You are given an input of type String - the string is a ...
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### Up go the bits!

Given an integer N perform the following steps: (using 9 as an example). Receive input N. (9) Convert N from base10 to base2. (...
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### Several bases but not twice the same digit

Input A non-empty array of positive integers. Task Convert each integer to either binary, octal, decimal or hexadecimal in such a way that each digit (0 to F) is used at most once. Output The ...
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### Integers in Base Pi

Background: Pi (π) is a transcendental number, and therefore it has a non-terminating decimal representation. Similar, the representation doesn't terminate if ...
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### Not Quite Roman Ternary

Given an integer n ≥ 0 , output it in a non-positional base-3 notation, using digits 139ABCDE… and a 1-character separator. Every digit is a consecutive power of 3 ...
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### Crazy but Rational Bases

We have many challenges based on base 10, base 2, base 36, or even base -10, but what about all the other rational bases? Task Given an integer in base 10 and a rational base, return the integer in ...
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### Extension of the Game of Sevens

Introduction Output all the numbers in specific base that would appear in an adapted version of the game of seven. Challenge Your task is to output all the numbers in a given base in a given range, ...
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### Balanced ternary logic

Balanced ternary logic Ternary is normally another name for base 3, that is to say, each digit is 0, 1, or ...
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### Parse the Parcel

Thanks to your help in the Mark My Mail challenge, PPCG-Post has successfully stamped all of its parcels with the generated barcodes! Now, it's time to decode them. In this challenge your program ...
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### Is this a three-digit number ending in one?

Given a nonnegative integer, return whether it is a three digit number ending in one, in any consistent integer base. In other words, the number needs to be represented in base-N, N being an integer ...
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### Mark My Mail! - ASCII Barcodes

4-state barcodes Many postal services (Royal Mail UK, Canada Post, US Mail, etc) use a 4-state barcode to encode information about their mail. Rendered in ASCII, it may look something like this: | ...
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### Find the BCD difference of a number

BCD difference Given an integer n, convert it to BCD (binary-coded decimal) by replacing each decimal digit with its 4-digit binary representation ...
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### Take a byte out of it!

Your task is to, given an unsigned integer n, find the largest number which can be created by removing a single byte (8 consecutive bits) of data. Example Given ...
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### Smallest Zeroless Base

Given a positive integer n, output the smallest base b >= 2 where the representation of n ...
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### The Binary Square Diagonal Sequence

The binary-square-diagonal-sequence is constructed as follows: Take the sequence of positive natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ... Convert each number to ...
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### Smaller-Base Palindromes

For the purpose of this challenge, a smaller-base palindrome (SBP) is a number which is palindromic in a base between 1 and itself (exclusive), and is not a repdigit in the same base. For example, 5 ...
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### How many Lynch-Bell numbers are there?

Challenge Given an integer, n, as input where 36 >= n >= 2, output how many Lynch-Bell numbers there are in base ...
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### Go away! No-1's Here!

I was playing around with some numbers and found a sequence that, of course, is on OEIS. It is A005823: Numbers whose ternary expansion contains no 1's. It goes: a(2n) = 3*a(n)+2 a(2n+1) = 3*a(...
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### The Binary Binary Expansion

Normally, we decompose a number into binary digits by assigning it with powers of 2, with a coefficient of 0 or 1 for each term: ...
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### Count the Palindromes [duplicate]

Given a number n, calculate the amount of bases in the range of [2, n) in which b(n) is a ...
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### Real base conversion

We've had a few challenges for base conversion, but all of them seem to apply to integer values. Let's do it with real numbers! The challenge Inputs: A real positive number x, expressed in base 10. ...
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### All your base 97 are belong to us

Many programming languages are written using solely printable ASCII, tabs and newlines. These 97 characters are then stored in 8-bit bytes (which are actually capable of holding 256 different ...
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### Find the longest rep digit

Your task is to take a positive number as input, n, and output the length of the longest rep-digit representation of n in any base. For example 7 can be represented as any of the following ...