# Questions tagged [base-conversion]

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

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### Bijective meets mixed base

Background A bijective base $b$ numeration, where $b$ is a positive integer, is a bijective positional notation that makes use of $b$ symbols with associated values of $1,2,\cdots,b$. ...
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### How long is the number in this base?

Given a positive integer $n$ and another positive integer $b$ ($1 < b < 36$), return the number of digits/length of $n$ in base $b$ ...
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### Convert negadecimal to decimal (and back)

Negadecimal, also known as base -10, is a non-standard positional numeral system. Take the number $1337_{10}$. In decimal, this has the value one thousand three hundred thirty seven, and can be ...
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### Display the exponent from a binary floating point number as a decimal value

Had my software final exams recently, one of the last questions had me thinking for a while after the exam had finished. Background IEEE754 numbers are according to the below layout The exponent is ...
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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 ...
621 views

### 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, ...